Inquiry in the classroom Running head: Inquiry-oriented instruction in the classroom Inquiry-oriented instruction throughout the elementary classroom Kaneil Keaty Vanderbilt University 1 Inquiry in the classroom 2 Abstract Inquiry-oriented instruction is an instructional model that can be implemented in almost any classroom. The following will discuss learners and learning, learners and the environment, curriculum and instructional strategies, and assessment in regards to inquiry-oriented instruction in the elementary classroom. Although inquiry is most commonly associated with science instruction, this paper will highlight the use of inquiry in mathematics classrooms. Inquiry in the classroom 3 Inquiry-oriented instruction throughout the elementary classroom Two common goals of education are transmission of knowledge and allowance for individuality. Schools and teachers often consider these goals to be separate. Educators may lean towards one goal or the other, rather than finding a way to meet both goals. Wells (1995) supports the thought that these two goals are not in competition with one another. Rather, he describes reasons why they are interdependent. Wells states that through the use of inquirybased instruction across the curriculum both goals may be met simultaneously (Wells, 1995). Learners and learning Inquiry is typically associated with science instruction, although inquiry-oriented instruction may be implemented in any curricular area. "Inquiry refers to a learning process in which students are engaged. It is said to be an active learning process—'something that students do, not something that is done to them'" (Anderson, 2002). Similar to Piaget's theory of constructivism, inquiry instruction requires learners to create their own understanding. Through this process, students' learning may be more meaningful than situations where teachers explicitly transmit information to the class. (Borasi & Siegel, 2000) Inquiry-oriented instruction is not the most common form of instruction in classrooms today. Most teachers are given textbooks and learning programs to use for instructional purposes. Some teachers may choose to alter the content of the materials to suit their individual teaching styles, but many adhere to the textbook for guidance in all instructional areas. Traditionally, textbooks have a reputation of being boring, confusing, and/or developmentally inappropriate for a given age group. The content tends to focus on lower level thinking skills such as recalling facts, rather than higher order thought processes such as evaluating or creating ideas. Rarely do math textbooks or basal readers include challenging materials that are also of Inquiry in the classroom 4 interest to the students. Typical math textbooks require students to follow a given process, practice several problems, and retain formulas for future use. (Raphael & Au, 2005) A research study found that teachers choose more traditional instructional methods due to the following: time, materials, student ability and interest, and teacher expertise and motivation. (Flick, 1995) The incorporation of inquiry-based instruction in the classroom may take additional time for thinking and planning, but unlike many other educational tools it is free. Once educators are aware of the benefits that inquiry instruction can have on students, they may be more inclined to try it out. "In general, research shows that inquiry teaching produces positive results" (Anderson, 2002). The method is effective, but there is a lack of resources for teachers to learn how to incorporate inquiry instruction in their classrooms. (Anderson, 2002) John Dewey’s theories regarding the education of young children are well known throughout the world of educators. Stuckart and Glanz (2007) refer to Dewey's thoughts regarding acquisition of intelligence. "He asserted that "problems are the stimulus to thinking" and that teachers are responsible for organizing content so that instruction "arouses in the learner an active quest for information and the production of new ideas" (Stuckart & Glanz, 2007). Dewey states that it is the teacher’s responsibility to create learning activities that spark an interest in students. Inquiry-oriented instruction involves constructing situations where students recognize a problem and are eager to figure out a solution. Learners and the environment In order for inquiry-oriented instruction to be effective in the classroom, a number of environmental factors must be in place. Classroom norms may be established at the beginning of the school year and altered throughout the year to suit the needs of a particular group of students. Norms in an elementary classroom include daily routines, procedures, and expected behaviors. Inquiry in the classroom 5 For example, first graders may be expected to raise their hand if they have something to say during instructional periods. If the teacher only calls on children whose hands are raised, those who choose not to raise their hand may never have to participate in class discussions. This specific classroom norm is not ideal for an inquiry-oriented classroom. Campbell and Rowan (1997) express guidelines for inquiry instruction in the classroom. They mention that all students are required to participate in the inquiry process. In addition to being expected to participate, students must respect their peers and allow one another to voice their understanding. (Campell & Rowan, 1997) Teachers may be intimidated by the thought of allowing students to talk openly about their learning. A quiet classroom filled with students working independently is often considered an ideal situation in the early grades. Transitioning from this type of environment to one where students are allowed to share ideas takes time, consistency, and practice. Teachers need to set the expectations from the beginning and hold the class accountable in order for this form of instruction to take place. This may take students time to adjust, but the end result of positive classroom discussions will benefit the learners’ current academic needs as well as teach them essential communication skills that will last a life time. (Ball, 1991) Once appropriate classroom norms are in place, inquiry may become the base of instruction through discourse involving the students and teacher. Naturally, certain students will feel more inclined to communicate their thinking with the entire class, while others have no desire to share their thoughts. Teachers must be sure that the environment is safe for all learners to share and that all students are given equal opportunities. When children take risks by speaking out, they need to be assured that everyone involved values their input. One way to prepare students for collaborative discussions is to practice how to handle mistakes, wrong Inquiry in the classroom 6 answers, and disagreements. These situations are unavoidable in the inquiry-oriented classroom, therefore students need to learn how to handle themselves during such times. Children often associate wrong answers with failure. This is a concept that may be ingrained at a young age, but teachers should still do their best to encourage students to take risks with their learning. The idea is not simple, but if the class works together to support one another during discussions, students may be more inclined to continue sharing after answering incorrectly. “The classroom must be a place where thoughts are accepted, ideas are investigated, and meaningful problems are solved. The result is an equitable environment for learning." (Campbell & Rowan, 1997) Deep inquiry may involve students challenging one another’s thinking. Again, this is often something that teachers try to avoid in the classroom. Fortunately, challenging peers and sorting through disagreements can lead to greater understanding in the classroom. Certainly, rules and expectations must be in place before students are encouraged to disagree with one another during instruction. The teacher works as a facilitator throughout the discussion and at times may need to intervene if the discussion becomes uncontrolled. (Ball, 1991) In addition to creating appropriate classroom norms and coordinating the discourse, teachers need to plan enough time for inquiry. The elementary schedule usually includes designated time periods for language arts, physical education, lunch, recess, etc. Depending on the content and the task at hand, students need plenty of time to identify the problem, work through possible solutions, and draw conclusions. Students who feel rushed, or know that they only have a few minutes to complete a task, may be careless with their work. A shortage in time allowed for inquiry can be detrimental to the students’ depth of understanding. Inquiry in the classroom Flick describes research of mathematics education where “teaching methods which utilized at least 50% of the time for development activities were more effective in generating long-term retention than those where development was less” (Flick, 1995). Therefore, the time allotted to conduct and resolve an investigation is equally as important as the rest of the instruction. Teachers who are new to the inquiry-oriented method of instruction may take a considerable amount of time to figure out effective planning for various activities and subject areas. Curriculum and instructional strategies "Although many people think of instruction as what teachers do, it consists of interactions involving teachers, students, and content" (Cohen & Ball, 2001). In order for inquiry instruction to occur, teachers and students must collaborate to discover and reveal learning. The roles of both teacher and student shift from those commonly found in the traditional textbook-based mode of instruction. Teachers move away from explicitly transmitting knowledge and move towards guiding understanding amongst students through communication. (Borasi & Siegel, 2000) The aim of inquiry-oriented instruction is for teachers to gear their students towards recognizing problems. Once students are able to notice disequilibrium on their own, they naturally move towards finding solutions. Rather than giving solutions to students, teachers encourage them to use their state of confusion as a starting point for inquiry. (Borasi & Siegel, 2000) One of the main ways that teachers guide their students’ thinking is through questioning. The types of questions asked by teachers varies depending on grade level and subject area. Inquiry can play a strong role in the elementary mathematics classroom. When discussing problems and outcomes, teachers have the ability to listen to student responses and ask 7 Inquiry in the classroom 8 appropriate questions in order to guide their thinking. For example, if a student is in front of the class explaining a two-digit subtraction problem, the teacher should allow him/her to draw, write, and/or say whatever they need in order to communicate their findings. Rather than correcting a misunderstanding or praising a correct answer, it is necessary to explore how a student arrives at an answer, whether it is right or wrong. It may be right because of chance, or if a student gives a wrong answer, they may be really close to arriving at a solution and just need a little help. The student’s defense of his/her answer is equally important as the written answer. (Ball, 1991) "The way we frame questions, search for answers to them, and then connect the emerging knowledge to what we already know, is scientific inquiry" (Windschitl & Buttemer, 2000). According to Windschitl and Buttemer, inquiry requires a large amount of independent learning time. The process begins with students identifying a question, solving the problem, and then debating the answer with the class. As mentioned earlier, it is necessary for teachers to be consistent and to plan enough time for students to complete the process in order to improve their inquiry skills. (Windschitl & Buttemer, 2000) After allowing plenty of time for independent inquiry, teachers may proceed with a series of open-ended questions for the students. The questions should be well thought out and meaningful. The purpose of questioning is to urge students to seek relationships among concepts and create challenging predictions about their findings. Once students reach a high level of understanding, they will be prepared to present evidence to the teacher and/or class. Evidence may be in the form of verbal or written explanation, pictorial representation, or any other form of assessment that would push the student to evaluate his/her own understanding. (Windschitl & Buttemer, 2000) There is a fine line that should not be crossed when teaching in an inquiry-oriented classroom. Teachers are present in order to facilitate, question, and encourage, while Inquiry in the classroom simultaneously making sure that the students are leading their own inquiries. If teachers try to lead or probe students to wonder about a concept without the student having a certain amount of investment in the issue, the instruction can quickly turn into explicit teaching. (Windschitl & Buttemer, 2000) Inquiry can be the base of instruction in nearly every subject, including: math, science, and English. "Language has the power to help children organize and link their partial understandings as they integrate and develop mathematical concepts."(Campbell, 1997) Supporters of inquiry-oriented instruction in mathematics believe that the discussion may help form students understanding of new concepts. In many mathematics classes, the ultimate objective is to unlock the mystery of the textbook. Teachers and students spend time digging through information to reveal the purpose. (Borasi & Siegel, 2000) American mathematics classrooms are notorious for revolving around the memorization and application of rules. (Stipek, 2000) Teachers spend endless amounts of time trying to teach students the numerous steps involved in algorithms. Students are expected to remember the algorithms, know when to apply them, and figure out their meaning. Unfortunately, it is rarely the case that students are urged to think about the purpose of formulas and procedures in mathematics. These common practices lead students to believe that mathematics is strictly independent work. Acquisition of understanding is left up to the individual. Students think that there is only one way to discover an answer and once that happens, any similar problem may be solved. Their mathematical mindset is overtaken by mystery and stress regarding numbers. Few students realize that math is all around and can easily be related to everyday life. (Borasi & Siegel, 2000) 9 Inquiry in the classroom 10 Incorporating literature in the math class is one way to get students interested and ready to question the subject. Borasi and Siegel discuss reasons why the mathematics curriculum can benefit from the inclusion of literature. Studying mathematical concepts within a particular context increases the reality of a problem. Real world problems in all curricular areas, especially mathematics, often lead to deep long-lasting understanding. Borasi and Siegel even suggest reading texts about real mathematicians' journeys towards creating theories. Students may come to a deeper understanding of a concept if they find out how it was originally discovered. (Borasi & Siegel, 2000) Shih (2004) suggests a number of guidelines when using literature in mathematics instruction. Whether reading aloud, or assigning independent reading, he encourages teachers to allow for open discussion of the text. He mentions the importance of leaving the mathematical concept to be revealed by the students, rather than explicitly explained by the teacher. When reading aloud, teachers often feel the need to stop and think aloud or comprehend the text for the class. In order for the inclusion of literature to be effective, teachers have to refrain from translating the text. Shih mentions that it is often useful to revisit the concept and the book after students have explored the concept on their own as a form of review. Rereading sometimes leads students to ask deeper questions. (Shih, 2004) A main reason for including literature in mathematics instruction is to increase students’ thinking about math and to create an environment where students are constantly looking to connect real world with math. Once students begin to realize that math is an integral part of daily life, they may begin to question concepts and recognize a need for learning about math. In addition to introducing literature, teachers can plan meaningful extensions to stories, such as writing tasks that involve the specified concept. When beginning to integrate literature Inquiry in the classroom 11 and math, teachers may refer to Shih’s lists of recommended texts. The lists include texts in which mathematics is the basis for the story, texts where knowing a math concept is integral to understanding the story, and texts where math naturally emerges depending on students’ background knowledge. (Shih, 2004) Ideally, the exposure to texts involving mathematical issues will help students build their own understanding of a given concept. Each reader brings his or her own connections to a given text. When students are able to connect a math concept with literature, the learning becomes more meaningful and therefore deeper learning occurs. In order to guide students thinking, teachers ask students about math in regards to the text and also allow plenty of opportunities for students to ask questions. Through discussions surrounding the text, students will be more inclined to understand the mathematical knowledge. (Shih, 2004) Students are usually capable of identifying math in texts, but it is crucial that they are given the opportunity to respond in a mathematical way during the discussion. Through text discussions and collaborative work, teachers and students will create a community in which math is recognized in daily life. "When a teacher develops, encourages, and is aware of developing a mathematical perspective toward literature, children begin to make mathematical connections with all types of literature." (Shih, 2004) Assessment "When we modify the questions that we ask students, our assessment of students' thinking refines our instructional practice and indicates to students that we value their ability to communicate about mathematics" (Chappell & Thompson, 1999). Inquiry-oriented instruction provides teachers with many options when it comes to assessing student understanding. The format of the instruction involves discussion, deep personal investigation and communication of Inquiry in the classroom 12 thoughts. Each of these products may be used as a mode of informal assessment. Traditional assessment methods, such as multiple choice, true false, and fill in the blanks are not always the best ways to assess student understanding. Since inquiry instruction urges students to think about their learning in more than one way, they may be more inclined to produce in-depth pieces of work to be used for evaluation. For example, higher order thought processes call for students to evaluate, argue, and create their own representation of their understanding. The inquiry that is done during instruction time should prepare students to apply their new knowledge in more complex ways. "Written assessment items in the form of open-ended questions enlighten teachers about the extent to which students understand underlying mathematical concepts" (Chappell & Thompson, 1999). Implications for future practice Teacher education plays a profound role in the effectiveness of inquiry-based instruction, especially in mathematics. In 2003, Even and Ball found that Chinese mathematics teachers were better prepared to explain concepts to their students in comparison to teachers in the U. S. Chinese teachers possess language that helps learners understand the fundamentals of mathematical concepts. (Even & Ball, 2003) How can educators bridge this gap? Teacher education programs profess the importance of encouraging inquiry in the classroom, but do they follow through within the college courses? Do teacher education programs implement inquiryoriented instruction? If so, are their teachers leaving the programs and repeating those practices in the elementary classrooms? “Inquiry-oriented mathematics teaching requires considerable knowledge of mathematics because teachers need to diagnose the concepts that underlie students’ responses or problem-solving strategies and respond with appropriate scaffolding” (Stipek, 2000). To be effective instructors, teachers should possess a high level of self- Inquiry in the classroom 13 confidence in their ability to teach without being dependent upon explicit instructions from a textbook. In addition to having an adequate education, teachers’ beliefs regarding instructional models plays a key role in their practice. Stipek, et al. (2001) found that a number of teachers learned about inquiry-oriented instruction and the positive impact that it can have on learners, but still failed to incorporate it into their daily practices. Teachers attended professional development conferences about inquiry in the classroom and left with a plethora of tools and ideas. Upon returning to the classroom, teachers who attended conferences began to implement portions of inquiry-based instruction, but did not adopt all areas of the instructional model. They simply added small amounts of new methods to their pre-existing practices. Stipek, et al. stressed the importance of believing in inquiry-oriented instruction in order for the effectiveness to be optimal. (Stipek, et al., 2001) Inquiry-oriented instruction may take place in any classroom environment, as long as the teacher is willing to create appropriate activities and consistently provide support for students. "Research on inquiry-oriented instruction has produced mixed results with the clearest effects occurring with more capable students, who have well trained teachers, and a supportive classroom environment" (Flick, 1995). When teachers continue to grow as learners and educators, they are capable of implementing original tools in their classroom, even if their class consists of a variety of ability levels. Following the traditional textbook-based model of explicit teaching may appear easier even though educators know that all students do not possess identical learning styles. Inquiry-oriented instruction is flexible and allows teachers to create educational experiences that are unique to a particular group of students. - Inquiry in the classroom 14 References Anderson, R. D. (2002). Reforming science teaching: What research says about inquiry. Journal of Science Teacher Education. 13, 1-12. Ball, D. L. (1991). What’s all this talk about “discourse”? Arithmetic Teacher. 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