Republic of the Philippines CENTRAL BICOL STATE UNIVERSITY OF AGRICULTURE Impig, Sipocot, Camarines Sur 4408 Website: www.cbsua.edu.ph Email Address: cbsua.sipocot@cbsua.edu.ph Trunkline: (054) 881-6681 A Semi-Detailed Lesson Plan in Principles and Strategies in Teaching Mathematics I. OBJECTIVES At the end of the lesson, 85% of the students must be able to: • • • II. SUBJECT MATTER • • • • III. Define and determine the purpose of SOLO Taxonomy; Illustrate the structure of SOLO Taxonomy; and Apply the concept of SOLO Taxonomy in creating learning outcomes for Mathematics discussions. Topic: Writing Learning Outcomes: SOLO Taxonomy References: https://www.structural-learning.com/post/what-is-solo-taxonomy https://www.iitms.co.in/blog/what-is-solo-taxonomy-important-andlevels.html https://learn.rumie.org/jR/bytes/how-do-i-use-solo-taxonomy-to-helpmy-students-succeed/ https://www.iitms.co.in/blog/what-is-solo-taxonomy-important-andlevels.html Instructional Materials: PowerPoint Presentation Strategies: 4As Approach PROCEDURE PREPARATION • • • • Prayer Greetings Checking of attendance Recapitulation of the previous activity MOTIVATION • • • • Activity title: All of these words… Instructions: Students must guess the word defined by the facilitator using the first letter clue. Failing to guess correctly will result in a punishment: sing a song with a tune similar to “pabasa o pasyon.” IV. LESSON PROPER ACTIVITY Directions: Re-arrange the jumbled letters using the pictures on the right corner to form words that are essential to the topic today. You will be given 15 seconds for each words. Goodluck! 1. EPR LACTRUSRUT 2. NUI TRURUCALTS 3. UTLIM TACLURURTS 4. LIONTEARLA 5. EDXDTENE CARTBAST ANALYSIS • • • Facilitate a whole-class discussion about the activity. Address common misconceptions and highlight correct approaches. Use questioning to uncover students' reasoning. ABSTRACTION History of SOLO Taxonomy For the longest time, institutes relied upon the traditional way of teaching and normalized rote learning that never helped students intrinsically. Therefore, educators and scholars needed to implement changes that could help to transform the backdated education system. By recognizing the major problems that students face and taking into account the institute’s shortcomings, they came up with unique strategies. Part of their efforts was also concentrated on introducing a curriculum that was in sync with new pedagogy. But, most importantly, facilitating a learning and teaching system that encourages productive habits and instills self-learning practices became the need of the hour. Strategic frameworks for learning and teaching methods became a guiding light for students and teachers alike. Consequently, Bloom’s taxonomy turned out to be one of the primary models that teachers and institutes depended upon, as it provided easy-to-comprehend learning objectives. Still, there is always room for improving the techniques and developing ways to help the education system fit students’ requirements. That is exactly what SOLO taxonomy does; it provides an alternative system to assess and evaluate the students’ comprehension of learning. • SOLO (Structure of Observed Learning Outcomes) offers a structured outline for the learners to use to build their learning and thinking. It motivates students to ponder where they are presently in terms of their level of understanding, and what they must do to progress. • It was developed by John Biggs and Kevin Collis in 1982, two educational researchers who were interested in creating a framework that could help teachers design learning experiences that are aligned with the specific level of understanding. • This taxonomy became an alternative to Bloom’s Taxonomy, which permeated educational systems since the mid-20th century. • Solo Taxonomy is a systematic way that describes how learners' understanding build from easy to difficult while learning different tasks or subjects. • SOLO Taxonomy is often used in conjunction with the concept of constructive alignment, which is the idea that learning outcomes, teaching activities, and assessment tasks should all be aligned with one another. Purpose of SOLO Taxonomy The taxonomy can be used: • To increase the quality and complexity of thought by integrating relevant activities and innovative lesson deliveries in sync with the content. • To establish learning objectives to provide students with clear and concise directives for achieving academic goals. • To create assessment criteria that eventually guides students to prepare for exams and conduct tests as per standardized methods. • To create and evaluate learning programs that would serve to boost selfconfidence and motivation within students and ultimately help to achieve learning outcomes. • It allows teachers to identify where students are in their learning journey and determine what steps need to be taken to move them to a deeper level of understanding. • Enable students to demonstrate their understanding at the conceptual level. The five hierarchical levels of SOLO Taxonomy 1. Pre-structural Level • Pre-structural is no understanding demonstrated. This is when you don't know anything about a topic, when you are just starting out. • This is the initial stage, also known as the incompetent stage, where the learner does not know about the task or subject. At this particular stage, the student gets unconnected information, which makes no sense or organization. Therefore, the student is unable to understand the information and does not demonstrate any understanding either. • Students at the re-structural level might say: • “I don't understand.” • “What am I supposed to do?” • “I've never heard of this before.” 2. Unistructural Level • Uni-structural focuses on one conceptual issue in an indicated complex case. This is when you know one thing about a topic. • At this stage, the learner gets to know just a single relevant aspect of a task or subject; the student gets a basic understanding of a concept or task. Therefore, a student is able to make easy and apparent connections, but he or she does not have any idea how significant that information be or not. In addition, the students’ response indicates a concrete understanding of the task, but it focuses on only one relevant aspect. • Students at the unistructural level might say: • “I have one idea.” • “I can define a term.” • “I can do a simple procedure.” 3. Multi-structural Level • Multi-structural indicates understanding of boundaries but not of systems. This is when you know lots of things about a topic but you can't yet connect them together. • At this stage, students gain an understanding of numerous relevant independent aspects. Despite understanding the relationship between different aspects, its relationship to the whole remains unclear. Suppose the teacher is teaching about several topics and ideas, the students can make varied connections, but they fail to understand the significance of the whole. The students’ responses are based on relevant aspects, but their responses are handled independently. • Students at the multi-structural level might say: • “I have lots of ideas about this topic!” • “I can describe some of my ideas.” • “I don't understand how these ideas connect.” 4. Relational Level • Relational understanding of several components which are integrated conceptually. This is when you understand how different bits of the topic connect together. You understand the topic, and you can see things as a coherent whole.it makes sense. • This stage relates to aspects of knowledge combining to form a structure. By this stage, the student is able to understand the importance of different parts in relation to the whole. They are able to connect concepts and ideas, so it provides a coherent knowledge of the whole thing. Moreover, the students' response indicates an understanding of the task by combining all the parts, and they can demonstrate how each part contributes to the whole. • Students at the relational level might say: • “I know how these ideas connect.” • “I can apply what I have learned.” • “I can explain WHY this happens.” 5. Extended Abstract Level • Extended Abstract I can generalize to a now area. This is when you ne ally understand the topic and you can go beyond the basics You can connect It to other topics evaluate it, and also to create new things as well • By this level, students are able to make connections within the provided task, and they also create connections beyond that. They develop the ability to transfer and generalize the concepts and principles from one subject area into a particular domain. Therefore, the students’ response indicates that they can conceptualize beyond the level of what has been taught. They are able to propose new concepts and ideas depending on their understanding of the task or subject taught. • Students at the extended abstract level might say: • “I can use what I learned and apply it to something else.” • “I can make predictions based on what I learned.” • “I can evaluate something based on what I learned.” Sample Verbs indicating Levels of Understanding 1. Pre-structural – Failed, unsuccessful, flunked, Learner missed the point 2. Unistructural – List, Name, Memorize, Define, Identify, Do a simple procedure 3. Multi-structural – Classify, Describe, List, Report, Discuss, Illustrate, Select, Narrate, Compute, Sequence, Outline 4. Relational – Apply, Integrate, Analyze, Explain, Predict, Conclude, Summarize, Review, Argue, Transfer, Make a plan 5. Extended Abstract – Theorize, Hypothesize, Generalize, Reflect, Generate, Create, Compose, Invent, Originate Verbs and phrases to avoid: Accept Appreciate Apprehend Be aware of Be familiar with Comprehend Get Grasp Value Have a knowledge of Know Learn Perceive See Understand Classifying Learning Outcomes using SOLO Taxonomy 1. Identify the Learning Outcomes • Start by clearly defining the specific learning outcomes you want students to achieve. These outcomes should reflect what students should know, understand, or be able to do by the end of the learning experience. 2. Determine the level of understanding • Assess the depth of understanding required for each learning outcome. Consider the complexity of thinking and the extent to which students must connect and apply knowledge. • When determining the depth of understanding to assign a learning outcome, refer to the following list of verbs that relate to each level. • The pre-structural level represents a lack of understanding of anything to do with a topic. Because of this, learning outcomes aren't typically assigned to this level of understanding according to SOLO. • However, as a teacher, you can start with “the first stepping stone” and assign simple, lower-order outcomes such as “identify, memorize, and recall.” 3. Match with SOLO Taxonomy Levels • Assign each learning outcome to the appropriate level of the SOLO taxonomy. • Here's an example of learning objectives from a grade 9 math unit on the topic of “Trigonometric Functions” categorized using the SOLO taxonomy: • Unistructural — Students will be able to identify and define the three basic trigonometric functions. • Multi-structural — Students will be able to draw triangles illustrating the three basic trigonometric ratios. • Relational — Students will be able to analyze how each trigonometric ratio is used in finding the unknown side and degree measurements of a right triangle. • Extended/Abstract — Students will be able to solve real-world problems involving trigonometric ratios, and reflect how it functions based on their understanding of each concept. How can SOLO Taxonomy be used to support student learning? Once you've classified the learning outcomes, you can focus on the most important part: improving student learning. After assessing students' thinking to determine their base levels of understanding, you can use the SOLO Taxonomy in a variety of ways: • Use the taxonomy to create rubrics and assessment criteria that reflect the desired level of understanding. • Use the taxonomy to create a common language to discuss learning outcomes and progression with your students. • Based on the targeted level, employ specific learning approaches (e.g., explicit teaching, group work, problem-solving, reflective discussions, and inquiry) that help students meet those specific learning objectives. Advantages and Disadvantages of Bigg’s Model Advantages of the SOLO Taxonomy include: • Educators can use the verbs from the taxonomy to create learning outcomes. Unlike Bloom’s taxonomy, the verbs in the SOLO taxonomy are all observable, making them ideal for assessments. • It provides a framework for creating progressive curricula that gradually increase in difficulty level. • It provides a framework for thinking about what you want your students to know and at what stage. • It helps you think through what grade you will give a student by explicitly outlining how to identify depth of understanding. Disadvantages include: • The model doesn’t take into account difficulty of topics themselves. Some topics (such as brain surgery!) require extreme difficulty to reach levels 3 or 4 of the taxonomy. Other topics may be easy to understand, manipulate and theorize at level 5 of the taxonomy (extended abstract level). So, even very difficult postgraduate level curricula may require lower-order verbs within their learning outcomes. • The model assumes courses should contain learning outcomes and places high value on assessment. Some educators may believe that assessment and learning outcomes stifle creativity and student-led learning and are therefore inappropriate. Take action • Classifying learning outcomes with SOLO taxonomy will guide you in planning lessons, designing assessments, and selecting effective teaching methods. It ensures student progression, support, and a deeper understanding of concepts in a structured learning experience. APPLICATION You are about to teach students in a Mathematics class the next day but you have not prepared a lesson plan yet for the topic Pythagorean Theorem. Now, create effective learning outcomes observing the levels of Biggs and Collis’ SOLO Taxonomy. V. EVALUATION QUIZ: Direction: Read and understand each question below, and write the best answer in a one-fourth sheet of paper. I. IDENTIFICATION 1. What does SOLO stand for in SOLO Taxonomy? 2. Who developed the SOLO Taxonomy? 3. Which level of SOLO Taxonomy indicates no understanding demonstrated? 4. At which level of SOLO Taxonomy does a student understand how different bits of a topic connect together? II. MULTIPLE CHOICE 5. What is the main purpose of SOLO Taxonomy? a. To assess students' comprehension of learning b. To categorize learning outcomes into different levels c. To promote self-learning practices d. To replace Bloom's Taxonomy in educational systems III. TRUE OR FALSE 6. SOLO Taxonomy is an alternative to Bloom's Taxonomy. 7. The Pre-structural level of SOLO Taxonomy indicates a basic understanding of a concept or task. 8. At the Multi-structural level of SOLO Taxonomy, students can make connections between different aspects but fail to understand the significance of the whole. 9. Relational Level in SOLO Taxonomy involves understanding the relationship between different parts in relation to the whole. 10. The Extended Abstract level of SOLO Taxonomy indicates the highest level of understanding, where students can generalize and create new things. KEY TO CORRECTION ACTIVITY 1. c 2. b 3. c 4. d 5. a APPLICATION ▪ Answers may vary EVALUATION 1. Structure of Observed Learning Outcomes 2. John Biggs and Kevin Collis 3. Pre-structural Level 4. Relational Level 5. C 6. TRUE 7. FALSE 8. TRUE 9. TRUE 10. TRUE