QUIRINO STATE UNIVERSITY DIFFUN CAMPUS Diffun, 3401 Quirino COLLEGE OF TEACHER EDUCATION ….promoting pedagogical excellence Module 15 Competencies Cognitive Perspective: Problem Solving and Creativity Theory At the end of the lesson, you will be able to: 1. describe problem solving and creativity: 2. explain the creativity, stages/processes of problem solving and 3. cite situations manifesting barriers to problem solving and creativity and; 4. cite classroom applications of theories related to problem solving and creativity Discussion Problem Solving Ana's food catering business has been profitable, as there is no competitor Lately, a new catering group was put up, offering as good services similar to hers. With the presence of the competitor, some clients have shifted to the new provider. Ana inquires on how to sustain her customers' loyalty. This situation illustrates a problem. A problem arises when there is a difference between where you are now (e.g., the presence of Ana's competitor) and where you want to be (e.g., Ana's desire to sustain customer loyalty). A distinguishing feature of a problem is that there is a goal to be reached through some action on your part, but how to get there is not immediately apparent. There is an obstacle or a gap between where you are now and where you want to be (Robertson, 2015). In Ana's case, her goal is to sustain the customer clients, but the solution is not there yet (current state). A necessary element of a problem is the presence of an obstacle or block toward the attainment of that goal. For this reason, problemsolving happens when an individual strives to eliminate the obstacle that hinders the attainment of the desired goal. "If no obstacle hinders progress toward a goal attaining the goal is no problem" (Reese, 1994). VISION The leading center for academic and technological excellence and prime catalyst for a progressive and sustainable Quirino Province and Southern Cagayan Valley. MISSION Develop competent and morally upright professionals and generate appropriate knowledge and technologies to meet the needs of Quirino Province and Southern Cagayan Valley. “Molding Minds, Shaping Future” QUIRINO STATE UNIVERSITY DIFFUN CAMPUS Diffun, 3401 Quirino COLLEGE OF TEACHER EDUCATION ….promoting pedagogical excellence Figure 11 illustrates the elements of a problem scenario. Current State Block/Obstacle Desired Goal Problem solving refers to cognitive processing directed at achieving goal for which the problem solver does not initially know a solution method (Mayer, 2015). This definition consists of four major elements (Mayer, 1992, Mayer & Wittrock, 2006), namely: 1. Cognitive. Problem solving occurs within the problem solver's cognitive system and can only be inferred indirectly from the problem solver's behavior (including biological changes introspections, and actions during problem solving) 2. Process – problem solving involves mental computations in which an operation is applied to a mental representation, sometimes resulting in the creation of new mental representation. 3. Directed. Problem solving is aimed at achieving a goal. 4. Personal. Problem solving depends on the existing knowledge of the problem solver so that what is a problem for one problem solver may not be a problem for someone who already knows a solution method. Types of Problems Problems can be classified in many ways. For one, it could either be welldefined or ill-defined problem. Robertson (2015) described a well-defined problem as one that "provides all the information required to solve it."" Jonassen (1997) considered it as a problem requiring the application of a definite number of concepts, rules, and principles being studied to a constrained problem situation. The problem tells you everything you need to know to solve it or whether you need to work out for yourself what you are supposed to do. Likewise, it tells you whether or not there is only one answer or solution or there are many solutions. For example, in the problem 4+3 7, you are certain that you are to add the two numbers and there is only one correct answer. You also know that you are 100% right or wrong. Nevertheless, there are instances that you have everything to know to solve the problem, but you cannot still arrive at the answer. In Mathematics, for instance, you know the MDAS (multiplication, division, addition, and subtraction) rule, but applying them may not be VISION The leading center for academic and technological excellence and prime catalyst for a progressive and sustainable Quirino Province and Southern Cagayan Valley. MISSION Develop competent and morally upright professionals and generate appropriate knowledge and technologies to meet the needs of Quirino Province and Southern Cagayan Valley. “Molding Minds, Shaping Future” QUIRINO STATE UNIVERSITY DIFFUN CAMPUS Diffun, 3401 Quirino COLLEGE OF TEACHER EDUCATION ….promoting pedagogical excellence clear to you. An ill-defined problem, meanwhile, is one where the initial state of the problem is given but what the goal state looks like is not provided (Robertson, 2015). It is typically situated in and emergent from a specific context, where an aspect or aspects of the problem scenario are not well specified, the problem descriptions are not definite, or the information needed to solve it is not expressed in the problem statement (Chi & Glaser, 1985). Because of this situation, there may be many correct answers as the learners have divergent circumstances and experiences related to the emergent context. An example of an ill-defined problem is, "You notice that the population of your town is tremendously increasing and you are alarmed of the consequences. What could you do?" This problem is ill-defined as it is a complex problem. The solution to the problem is multifaceted as there is an interplay of social, political, religious, and psychological issues to consider in arriving at the solution. The solution is one town varies to another town as their circumstances are different. Thus, there is the possibility of getting many correct responses. Approaches to Problem Solving Several approaches have been advanced to explain the problem-solving abilities of individuals (Anderson, 1996). One is the behaviorist approach, reproducing a previous behavior to solve a problem. A person faced with a problem situation is likely to use the same solution previously used and was effective in the past. To prepare the garden before planting, pick mattock is traditionally used because the Crop Science teacher told it so. In contrast to the reproductive approach advocated by behaviorists, the Gestaltist approach to problem solving is a productive process. Kohler's experiments with apes underscored the role of insight in the restructuring of a person's representation of the problem. As the individual ponders upon how to solve a problem, a flash of an idea comes to mind, which eventually provides the best solution to the problem. This situation illustrates the Eureka moment, the "moment a person realizes or solves something." A Science student saw a rural folk using akapulko extract (Cassia alata Linn.), locally known as andadasi (Iloko), as an antifungal treatment. The extract was used on his face to treat tinea flava. After three days of treatment, the extract did not only treat the main problem, but it also peeled off dead cells in the face. The student concluded that the plant extract also has exfoliating effect. Problem-solving Cycle Problem solving is a complex process. It is not a single skill, but rather an overlapping of some thinking skills, as logical thinking, lateral thinking, synthesis, analysis, evaluation, sequencing, decision making, research, and prediction are likely to VISION The leading center for academic and technological excellence and prime catalyst for a progressive and sustainable Quirino Province and Southern Cagayan Valley. MISSION Develop competent and morally upright professionals and generate appropriate knowledge and technologies to meet the needs of Quirino Province and Southern Cagayan Valley. “Molding Minds, Shaping Future” QUIRINO STATE UNIVERSITY DIFFUN CAMPUS Diffun, 3401 Quirino COLLEGE OF TEACHER EDUCATION ….promoting pedagogical excellence be involved (Teare, 2006). Metacognitive thinking , creativity, and transfer of learning interplay in the process. These cognitive and metacognitive skills are expressed in the several models proposed to undertake problem solving. The IDEAL model (Bransford Stein 1993) is adopted to explain the process of problem solving. Identify problems and opportunities Look back and learn Anticipate outcomes and act Define goals Explore possible opportunities Figure 12 indicates the specific steps to solve a problem. Step 1: Identify the problem and opportunities. Problem solving initially identifies the problem or potential problems. Determining the causes of the problem is necessary to pinpoint the major cause to prioritize in resolving the problem. Considering problems with a positive outlook serves as opportunities to do something creative. When problems are treated as opportunities, the result is often an unexpected solution or invention. It can be beneficial to actively attempt to identify problems that have gone unnoticed. People who identify important problems and treat them as opportunities are often among the most successful in their fields. For instance, your parents have informed you that in the next semester you will stop for the meantime as they are financially incapable to send you to college. It is just one semester more; just the Practice Teaching that you need to fulfill to finish your degree. The problem is how would you financially support your last semester in school. This dilemma is the current state of the situation. Step 2: Define goals. The second aspect of the model requires you to carefully define your goals in the problem situation. This is different from identifying the problem. For a problem situation, a group of people could identify the existence of a general problem and agree that it represents an opportunity but still disagree about what their goals should be. Different goals often reflect differences in how people understand a problem. For the problem situation above, the goal is VISION The leading center for academic and technological excellence and prime catalyst for a progressive and sustainable Quirino Province and Southern Cagayan Valley. MISSION Develop competent and morally upright professionals and generate appropriate knowledge and technologies to meet the needs of Quirino Province and Southern Cagayan Valley. “Molding Minds, Shaping Future” QUIRINO STATE UNIVERSITY DIFFUN CAMPUS Diffun, 3401 Quirino COLLEGE OF TEACHER EDUCATION ….promoting pedagogical excellence to continue with your college education because it is just one semester before graduation. Another student with the same problematic situation may have a different goal. Different goals can lead people to explore very different strategies for solving a problem. Step 3: Explore possible strategies. This step involves looking back at your goals and finding possible strategies to solve the problem. It entails the recall of procedural knowledge from long-term memory. As you think of alternative ways to solve the problem, ascertain that the chosen alternative fits the goal set. Bransford and Stein (1993) argued that even when people explicitly try to solve problems, they often fail to use appropriate strategies. Some strategies in problem solving are very general and apply to almost any problem, whereas there are strategies that are very specific and applicable only to a few or limited cases. Many strategies are suggested to make problem solving easier; however, the two main strategies used are heuristic and algorithm. Heuristic is a "rule of thumb, a mental shortcut that works for solving a problem.” especially those about decisionmaking tasks. Although there is no 100% certainty that the strategy is successful or adequate to solve the problem, it is most of the time effective and efficient in solving the problem. Because of its efficiency, heuristic can lessen the time to solve and can reduce cognitive load. A student who is always late to class may use the alarm clock in the cellphone to signal it is time to wake up. It may work effectively at times, but if one is in deep slumber, the person may not be awakened by the alarm. In another example, a Mathematics student may know the application of the mnemonics FOIL (First Outside - Inside Last) and can solve problems involving simple numbers, but may not be able to answer correctly because he or she does not know the multiplication rules of signed numbers. Besides, Newell and Simon (1972) suggested three general problem-solving heuristics for moving from a given state to a goal state: random trial and error, hill climbing, and means-ends analysis. Random trial and error involves randomly selecting a legal move and applying it to create a new problem state and repeating that process until the goal state is reached. Random trial and error may work for simple problems but is not efficient for complex ones. Hill climbing involves selecting the legal move that moves the problem solver closer to the goal state. Hill climbing will not work for problems in which the problem solver must take a move that temporarily moves away from the goal as is required in many problems. The means-ends analysis involves creating goals and seeking moves that can accomplish the goal. If a goal cannot be directly accomplished, a sub-goal is created to remove one or more obstacles. The second major strategy is an algorithm, the use of a series of steps to solve a problem. The elements of an algorithm include clarity of what is to be done, defined inputs, outputs, results, and preconditions. Computer programming is a classic example using an algorithm. The use of "If…then..." propositions tells the precondition for the next step to progress. If the next step does not satisfy the condition, it will not result in the expected VISION The leading center for academic and technological excellence and prime catalyst for a progressive and sustainable Quirino Province and Southern Cagayan Valley. MISSION Develop competent and morally upright professionals and generate appropriate knowledge and technologies to meet the needs of Quirino Province and Southern Cagayan Valley. “Molding Minds, Shaping Future” QUIRINO STATE UNIVERSITY DIFFUN CAMPUS Diffun, 3401 Quirino COLLEGE OF TEACHER EDUCATION ….promoting pedagogical excellence goal. Doing the standard algorithms for the fundamental operations in Mathematics requires doing the same steps repeatedly with each place value column in a given problem. For instance, 3012 +1224 4236 In teaching origami (the art of paper folding), steps presented should be followed one at a time to arrive at the correct art piece. When withdrawing money using the ATM card, one needs to follow the electronic cues to succeed. Step 4: Anticipate outcomes and act. Once a strategy is selected, the person must anticipate what outcomes will likely be. The expectation is the solution to the problem. When assured that the goal will be solved, the person acts or implements the planned strategy. For example, a learner anticipates that the answer to the problem 23 x 21 should be more than 400 but not 500. It should not be less than 400 because 20 x 20 is already 400. This assurance gives the person the confidence to implement the planned strategy. When a person withdraws money through the ATM, the anticipation is that money will be churned out by the machine. That motivates the person to follow the steps as cued by the machine. Step 5: Look back and learn. What transpired after the planned strategy to solve the problem is proof of its effectiveness. In metacognition, this step is the evaluation of the actions or solutions implemented. If the results give the correct answer, then the strategy used is good and effective. If the answer is wrong, then metacogitively ask, "What went wrong? The answers could be in the details missed during the analysis of the probem, the inappropriateness of the heuristic or algorithm strategy, or in the miscalculations. Realizing the errors committed along the way will make the person understand the mistakes committed. Learning from the experience will make the person more careful next time a similar task is given. Barriers to Problem Solving In the search for alternative strategies to solve the problem, the individual finds difficulty in coming up with a potential solution because of varied reasons. Anderson (1996) listed some of these and they are as follows. 1. Mental set. The situation when the person becomes fixated on the use of a strategy that previously produced the right solution, but in the new situation it is not the application. In metacognitive thinking, this is conditional knowledge. An English language learner may be fixated on the rule that the past tense of the verb is usually formed by adding -d, -ed to the base VISION The leading center for academic and technological excellence and prime catalyst for a progressive and sustainable Quirino Province and Southern Cagayan Valley. MISSION Develop competent and morally upright professionals and generate appropriate knowledge and technologies to meet the needs of Quirino Province and Southern Cagayan Valley. “Molding Minds, Shaping Future” QUIRINO STATE UNIVERSITY DIFFUN CAMPUS Diffun, 3401 Quirino COLLEGE OF TEACHER EDUCATION ….promoting pedagogical excellence form. Thus, given an irregular verb like GO, the answer given could be "goed. Moreover, a Mathematics learner could not get the sum of three-digit numbers that require carrying over because he or she is fixated to the addition of numbers without carrying over. 2. Functional fixedness. This is a phenomenon when individuals fail to recognize that objects can have other purposes, aside from the traditional use they were made for. A learner may think that a spoon is only used for eating. However, in instances when no bottle opener is available, a spoon is usually used to open a bottle of soda drink. 3. Failure to distinguish relevant and irrelevant information. This happens when a situation arises during the analysis of a problem when an individual cannot discern the relevant information needed in planning the strategy to solve a problem. When the irrelevant information is given more emphasis in the process, it will lead to a wrong solution to the problem. An example is a problem of what to include in a bulletin announcement to help someone who lost a bunch of keys. Children were asked which details to include were relevant, like where and when it was lost, how many keys were there in the keyholder, which keys were these, who owned it, where the key holder was bought, when it was bought. Some children may not be able to identify the relevant from the irrelevant ones. Creativity in Problem Solving As pointed out in the earlier discussion, mental set and functional fixedness are stumbling blocks in problem solving. These obstacles hamper the consideration of new alternative ways to solve a problem. They illustrate the lack of creativity on the part of the person. Theorists agree that creative problem solving must be taught and encouraged among learners. What is creativity? Plucker et al. (2004) defined creativity as "the interaction among aptitude, process, and the environment by which an individual or group produces a perceptible product that is both novel and useful as defined within a social context." The definition underscores the role of aptitude, process, product, novelty, and use. According to Plucker et al. (2004), aptitude represents a dynamic set of characteristics (e.g., openness, tolerance for ambiguity, flexibility in thinking, perseverance, motivation for creativity, need for self-expression), as well as abilities pertaining to the creative process, that can be shaped by experience, learning, and training (Grohman & Szmidt, 2013). Others call aptitude as creative attitude. Varied theories explain how creativity is developed (Kozbelt et al., 20O10). One is the developmental theory, which advocates that creativity develops over time (from potential to achievement). It is mediated by an interaction of person and environment. It emphasizes the influence of the place and family structures-the role of play and support during the transitions. Meanwhile, the cognitive theory of creativity states that ideational thought processes are foundational to creative persons VISION The leading center for academic and technological excellence and prime catalyst for a progressive and sustainable Quirino Province and Southern Cagayan Valley. MISSION Develop competent and morally upright professionals and generate appropriate knowledge and technologies to meet the needs of Quirino Province and Southern Cagayan Valley. “Molding Minds, Shaping Future” QUIRINO STATE UNIVERSITY DIFFUN CAMPUS Diffun, 3401 Quirino COLLEGE OF TEACHER EDUCATION ….promoting pedagogical excellence and accomplishment. Individuals who discern remote association, and are good at divergent/convergent thinking and conceptual combination and metacognitive processes are more likely to be more creative. The stage and componential process of creativity point out that creative expression proceeds through a series of stages or components .The process can have linear and recursive elements. It highlights the importance of preparation, incubation and insight, and verification and evaluation in creative thinking. One of the first models of creativity was advanced by Guilford (1967). He considered creativity as a divergent thinking act. He claimed that creativity is the result of several processes: fluency, flexibility, originality, and elaboration. Fluency is defined as the ability to produce a great number of ideas or problem solutions in a short period. In solving problems related to solid wastes, a learner can give novel ideas on recycling a plastic water container more than the other learners, which demonstrates fluency. Flexibility is the ability to simultaneously propose a variety of approaches to a specific problem. In recycling a plastic water container, a learner can suggest many ways of using them. It can be used as food container, wall decoration, and insect trap, which shows that the learner has flexibility of ideas. Meanwhile, originality refers to the ability to produce new, original ideas, as well as products .If there is no other learner who gave the same idea or product of another learner, that idea is original, as there is only one learner who could think of it. Lastly, elaboration is the ability to systematize and organize the details of an idea ih one's head and carry it out. If the learner could pick one solution to solve a problem and give specific details to implement the same, he or she is manifesting elaboration. The creative process follows certain stages (Boden, 2002; Gabora, 2002; Sadler-Smith, 2015). It includes preparation, incubation, illumination, and verification (see Figure 13). Preparation (Gathering materials Incubation (Subconscious working on the idea Illuminatio n (Eureka, AHA, lightbulb moment) Verification (Idea into form Figure 13. Stages of the creative process VISION The leading center for academic and technological excellence and prime catalyst for a progressive and sustainable Quirino Province and Southern Cagayan Valley. MISSION Develop competent and morally upright professionals and generate appropriate knowledge and technologies to meet the needs of Quirino Province and Southern Cagayan Valley. “Molding Minds, Shaping Future” QUIRINO STATE UNIVERSITY DIFFUN CAMPUS Diffun, 3401 Quirino COLLEGE OF TEACHER EDUCATION ….promoting pedagogical excellence Preparation is the initial stage of the creative process. It involves becoming passionate about an idea, which motivates you to gather materials (read, observe, compare). The information gathered seeps into your sub consciousness, eventually remaining there momentarily. The next step is incubation, the period where you unconsciously continues to work on the idea, but there is no active attempt to solve the problem. The mind just wanders until an idea takes form. In the next step illumination, a sudden idea pops out in your mind. The subconscious thoughts find the connection with the consciousness, resulting in the AHA and Eureka moments. Once the idea is concretized, it needs to be verified. Verification is the final stage of the creative process, involves working with the idea into a form that can be tested and proven, it could be communicated to others. A research conducted by Calubaquib (2013) illustrates the creative problem solving. One time he heard from a fellow teacher about the parents' personal experience about the potency or cat’s whiskers as anti-hypertension treatment. As it sounded interesting to her, she read more about the plant and the use of its extract. She wondered about what other studies be made out of the plant extract. At this stage, she was in the preparation stage. While thinking of a novel use for the balbas pusa extract, she was informed by the fellow teacher after two weeks that not only did her blood pressure stabilize, but she also observed that there were intestinal worms in her stool. This phase was the incubation stage. As Calubaquib was intrigued, a bright idea came to her mind. Balbas pusa cannot only act as antihypertension but also be an antihelminthic. This is the illumination stage as she realized about the possibility of using the plant extract to expel internal parasites. Following that idea, she planned using swine as experimental animals to prove the antihelminthic potency and efficacy of the plant extract, a study for her master's degree in chemistry. This is the verification stage of the creative problemsolving process. Transfer of Learning in Problem Solving and Creativity Problem solving is made easier if the learner can retrieve declarative knowledge, procedural knowledge, and conditional knowledge from the long-term memory. If the problem-solving task requires convergent answers, problem solving can be quite easy if the learner has mastered algorithm techniques. Nevertheless, even if the problem-solving tasks require divergent thinking, if there have been experiences in the past that enabled the learner to answer such task, solving them could be successfully done. The phenomenon that past experiences in solving problems are carried over or used in solving new problems is referred to as the transfer of learning. Transfers of learning are categorized into the following 1. Near transfer and far transfer. When learners apply their knowledge and skills in situations and contexts that are very close to those in which the learning occurred, it is near transfer. when learners perform a skill in a context very much different from the context it was learned, it is far transfer (Johnson, 1995). Learners VISION The leading center for academic and technological excellence and prime catalyst for a progressive and sustainable Quirino Province and Southern Cagayan Valley. MISSION Develop competent and morally upright professionals and generate appropriate knowledge and technologies to meet the needs of Quirino Province and Southern Cagayan Valley. “Molding Minds, Shaping Future” QUIRINO STATE UNIVERSITY DIFFUN CAMPUS Diffun, 3401 Quirino COLLEGE OF TEACHER EDUCATION ….promoting pedagogical excellence find it easier to add three-digit numbers after they have learned the lesson (near transfer). However, they find difficulty employing the same skill when the task is transformed into a word problem solving (far transfer). 2. Positive and negative transfer. When learners can use their prior knowledge or experience in solving a new problem situation, it is a positive transfer. When the previous learning or skill obstructs the acquisition of a new skill or the solving of a problem, it is negative transfer. Using a new model of the same brand of Android mobile phone is easy as the features are most likely the same (positive transfer). However, when a new phone using 1OS technology is bought, there will be difficulty in using it the first time (negative transfer). 3. Vertical transfer and lateral transfer. When learners use their learning at a lower level to perform a higher level of cognitive task, vertical transfer occurs. It is the goal of the spiral progression in the K to 12 curriculum. When learners use the same skill to solve a related but different problem comparable to level of difficulty after learning it , lateral transfer happens. For example, Ruben finds it easy to add five-digit numbers as he has mastered adding numbers with or without carrying over in the previous grade (vertical transfer). Likewise, Ruben relies on his knowledge of finding ratios in Mathematics in acquiring the skill of finding the seed germination rate in a Science laboratory task (lateral transfer). 4. Neutral or zero transfer. This happens when past learning or prior experience does not enhance or hinder the acquisition of a new skill or in the solution of a problem. In the transfer of learning, Glass and Holyoak (1986) stated that "the problem-solving process involves several aspects from which three major facets tend to emerge: the solver s representation of the problem, the solver's background experiences, and the solver s understanding of the problem." They explained that the learner begins the problem-solving process as soon as enough information about the problem space is generated to gain an understanding of the problem. The process involves association concepts from previous experiences to solve a similar problem. The learner is prompted by the potential answer when he or she recognizes similarities between the previous experience and the new task. Several theories explain how learning is transferred from one situation to another (Woolfolk 2017). The theory of identical elements by Thorndike maintains that the quality of transfer depends on the identical elements that are common in both past and new situations. If the content, method, goal and attitude in the two situations are similar, the transfer is facilitated. The theory of generalization developed by Judd, states that skills learned are transferrable to other situations. It argues that if the learner has fully understood the lesson and mastered the competency, there is a greater likelihood that such skill can be transferred to a similar VISION The leading center for academic and technological excellence and prime catalyst for a progressive and sustainable Quirino Province and Southern Cagayan Valley. MISSION Develop competent and morally upright professionals and generate appropriate knowledge and technologies to meet the needs of Quirino Province and Southern Cagayan Valley. “Molding Minds, Shaping Future” QUIRINO STATE UNIVERSITY DIFFUN CAMPUS Diffun, 3401 Quirino COLLEGE OF TEACHER EDUCATION ….promoting pedagogical excellence situation. Meanwhile, the theory of configuration, anchored on Gestalt psychology, emphasizes the important role of perception in the transfer of learning. It argues that what is learned in one situation can be shifted directly to another situation only when similarity in content, method, or attitude of the two situations is perceived by the learner . Classroom Applications Learning Theories of Cognitive Teachers can benefit from the teaching principles associated with cognitive learning theories. Along with problem solving, Woolfolk (2017) recommended the following: 1. Ask students if they understand the problem. Let them separate relevant from irrelevant information. Test their awareness of the assumptions. Encourage them to visualize the problem by diagramming or drawing it. Ask them to explain the problem to someone else. 2. Encourage attempts to see the problem from different angles. Suggest several different possibilities yourself, and then ask students to offer some. Give students practice in taking and defending different points of view on an issue. 3 Let students think; do not just hand them solutions. Offer individual problems as well as group problems, so that each student has the chance to practice. Give partial credit if students have good reasons for wrong solutions to problems. If students are stuck, resist the temptation to give too many clues. Let then think about the issue overnight. 4.Help students to develop systematic ways of considering alternatives. Tell them to think out loud as they solve problems. Ask: "What would happen if?" Keep a list of suggestions. 5. Teach heuristics. Encourage them to use analogies to solve problems. In teaching creativity, Woolfolk (2017) also recommended the following strategies in teaching learners: 1. Accept and encourage divergent thinking. Reinforce attempts at unusual solutions to problems, even if the final product is not perfect. Offer choices in topics for projects or modes presentation (written, oral, visual or graphic, using technology). 2. Tolerate dissent. Ask students to support dissenting opinions, Make sure that nonconforming students receive an equal share of classroom privileges and rewards. 3.Encourage students to trust their judgment. When students ask questions that you answer, rephrase or clarify the questions and direct them back to the students, Give assignments from time to time. 4. Emphasize that everyone is capable of creativity in some form, Avoid describing great artists or inventors as if they were VISION The leading center for academic and technological excellence and prime catalyst for a progressive and sustainable Quirino Province and Southern Cagayan Valley. MISSION Develop competent and morally upright professionals and generate appropriate knowledge and technologies to meet the needs of Quirino Province and Southern Cagayan Valley. “Molding Minds, Shaping Future” QUIRINO STATE UNIVERSITY DIFFUN CAMPUS Diffun, 3401 Quirino COLLEGE OF TEACHER EDUCATION ….promoting pedagogical excellence superhuman accomplishments. Recognize creative efforts in each student's work. Have a separate grade for originality on some assignments. 5. Provide time, space, and materials to support creative projects, Here are some examples : collect” found” materials for collages and creations, buttons, stones, shells, paper, fabric, beads, seeds, drawing tools, clay-and try flea markets and friends for donations. Have mirrors and pictures tor drawing faces. Make a well-lighted space available where children can work on projects, leave them, and come back to finish them. Follow up on memorable occasions (field trips, news events, holidays) with opportunities to draw, write, or make music. 6. Be a stimulus for creative thinking. Use class brainstorming sessions whenever possible. Model creative problem solving by suggesting unusual solutions for class problems. Encourage students to delay judging a particular suggestion for solving a problem until all the possibilities have been considered. 7. Capitalize on new technology. Ask the students to use free apps to create visual maps of ideas and share their ideas with others. To promote the transfer of learning, the following teaching-learning strategies are helpful (Woolfolk, 2017): 1. Keep families informed about their child's curriculum so they can support their learning. At the beginning of units or major projects, send a letter summarizing the key goals, a few of the major assignments, and some common problems that students have in learning the material for that unit. Ask parents for suggestions about how their child's interests could be connected to the curriculum topics. 2.Give families ideas on how they might encourage their children to practice, extend, or apply what they learn from school. Ask family members to include their children in some project that require school learning. 3. Show connections between learning in school and life outside of school. Ask families to talk about and show how they use the skills their children are learning in their jobs, hobbies, or community involvement projects. 4. Partner with families in practicing learning strategies. Focus on one learning strategy at a time. Ask families to simply remind their children to use a particular strategy for a homework that week. SUMMARY Learners have differences in learning, owing to the variances in their ways to solve problems, their levels of creativity, and their ability to transfer their learning to new contexts. Studies have shown that these skills can be taught and enhanced. Many students experience difficulties in solving applied physics problems. A study tested the effectiveness of PhysHint, a studentcontrolled computer program that supports students in developing their strategic knowledge in combination with support at the level of content knowledge (Pol et al., 2008). The program allows students to ask for hints related to the episodes involved in solving a problem. Data revealed that a program succeeded in improving strategic knowledge by allowing for more effective practice time for VISION The leading center for academic and technological excellence and prime catalyst for a progressive and sustainable Quirino Province and Southern Cagayan Valley. MISSION Develop competent and morally upright professionals and generate appropriate knowledge and technologies to meet the needs of Quirino Province and Southern Cagayan Valley. “Molding Minds, Shaping Future” QUIRINO STATE UNIVERSITY DIFFUN CAMPUS Diffun, 3401 Quirino COLLEGE OF TEACHER EDUCATION ….promoting pedagogical excellence the student (practice effect) and/or by focusing on the systematic use of the available help (systematic hint-use effect). If creativity is one of the desired learning goals, then teacher capacity is pivotal in teaching for creativity (Tan et al., 2016). Meanwhile, Davies et al. (2012) identified from a vast creativity literature that pedagogical practice is one of the key environmental features in molding students creativity. Among the practices found are: designing learning tasks that are novel to stimulate students creativity; planning for a structured yet flexible, self-directed learning experience, setting a mutual respect atmosphere; open dialogue; and collaborative activities. A study on the value of transfer of learning (Brion & Cordeiro, 2018)) indicated that most of the transfer of learning happen in areas not requiring mindset and behavioral changes. The facilities in which the training took place, the facilitators' dispositions and knowledge, the adequacy of the materials, as well as the testimonials and certificate of completions enhanced the transfer of learning. Enrichment Activities Direction: Answer the problem statement. Place it in a separate sheet in either bond paper or yellow paper. Write the question before the answer. DO NOT FORGET to write your name, year level, section, Module No. & title, and date of submission. 1. Jerry submitted to his Arts teacher a drawing titled "Fishes," with only sea wavés seen at the bottom of the frame. When the teacher questioned the title because she could not see any fish in the drawing, Jerry answered that they were under the water. If you were the teacher, how would you react? Why? Comprehen sion Check Direction: Write the letter of your answer in a separate sheet . _______1. Which of the situations below illustrates a child's actual potential? A. He can solve simple problems on his own. B. He can count through the teacher's cueing. C.He can listen to a lecture intently. D. He can hear different sounds around. _______2. Which parental support is effective in enhancing mental development among children? A. exposing them to situations that stimulate curiosity B. supplying them with expensive toys they can play with C. creating a happy environment that inspires them D. integrating play in all home and farm activities _______3. Which of the following is the correct form of assisted learning as conceived by Vygotsky? A. provide help in the beginning, then gradually withdraw B. let students work alone, then give advice when they ask C. have students explain their answer, then give a score D. inspire the children to try first, then hold gradually _________4. Which practice best illustrates the application of transfer of training/learning in the class? A. Provide tasks that are similar to the situations where learners would apply the task. B. Teach as many concepts in one hour so that they see VISION The leading center for academic and technological excellence and prime catalyst for a progressive and sustainable Quirino Province and Southern Cagayan Valley. MISSION Develop competent and morally upright professionals and generate appropriate knowledge and technologies to meet the needs of Quirino Province and Southern Cagayan Valley. “Molding Minds, Shaping Future” QUIRINO STATE UNIVERSITY DIFFUN CAMPUS Diffun, 3401 Quirino COLLEGE OF TEACHER EDUCATION ….promoting pedagogical excellence their connections. C. Let students describe their feeling and reflection about the concepts. D. Show the connections between the present lessons and lessons of the past. ______5. To enhance the ability to transfer problem-solving ability from one situation to real-life contexts, teachers should _____________________ A. provide meaningful ways to teach the use of certain strategies B. focus instruction on one particular type of problem until students "get it" C. anticipate that students will make connections if the solution is obvious D. have study drills to remember the right strategy References Bulusan, Ferdinand, et.al. 1st Ed 2019. Facilitating LearnerCentered Teaching. Manila: Rex Book Store, Inc. Sadler-Smith, E. (2015). Wallas' four-stage model of the creative process: More than meets the eye?, Creativity Research Journal, 27(4), 342-352. Schunk, D. (2016). Learning theories: An Educational Perspective (7th Ed.). Boston: Pearson. Slavin, R. (2014). Making cooperative learning powerful. Educational Leadership, 72(2), 22-27. Slavin, R. (2018). Educational Psychology: Theory and Practice (12th Ed.). Boston: Pearson. Tan, L.S. Lee, S.S., Ponnusamy, L.D., Koh, E.R. & Tan, K.C.K. (2016). Fostering creativity in the classroom for high ability students: Context does matter. Education Sciences 6 (36). https://eric.ed.gov/?id=EJ1 135612 VISION The leading center for academic and technological excellence and prime catalyst for a progressive and sustainable Quirino Province and Southern Cagayan Valley. MISSION Develop competent and morally upright professionals and generate appropriate knowledge and technologies to meet the needs of Quirino Province and Southern Cagayan Valley. “Molding Minds, Shaping Future” QUIRINO STATE UNIVERSITY DIFFUN CAMPUS Diffun, 3401 Quirino COLLEGE OF TEACHER EDUCATION ….promoting pedagogical excellence ASSESSMENT PAGE Direction: Write your answer/s in the enrichment activities and Comprehension Check in this page. Please detach this page and submit to your instructor for checking and recording purposes . Please feel free to attach additional papers if necessary. NAME: __________________________________________ Date: MODULE No._____ Module Title: _________________________________ Course: ____________________ Year Level : ______________ Section: _______ Enrichment Activities: Comprehension Check : Note: You can use additional paper if needed. Happy Working! VISION The leading center for academic and technological excellence and prime catalyst for a progressive and sustainable Quirino Province and Southern Cagayan Valley. MISSION Develop competent and morally upright professionals and generate appropriate knowledge and technologies to meet the needs of Quirino Province and Southern Cagayan Valley. “Molding Minds, Shaping Future”