Characteristic of Effective Instruction Teaching for Understanding Purpose The purpose of this paper is to provide Iowa educators with a clearer understanding of what is meant by Teaching for Understanding as a Characteristic of Effective Instruction within the Iowa Core Curriculum. Definition Teaching for Understanding is leading students to engage in a variety of thought-provoking activities such as explaining, finding evidence and examples, generalizing, applying, making analogies, and representing the topic in new ways. Teachers assist students in making connections between prior knowledge and new knowledge to develop understanding of a concept. Teachers who teach for understanding 1) make learning a long-term, thinkingcentered process, 2) engage students in assessment for learning processes, 3) support learning with representations conceptual models, 4) teach for learner differences 5) induct students into the discipline, and 6) teach for transfer (Perkins, 1993). Teaching for Understanding is a Characteristic of Effective Instruction and is an essential component of the Iowa Core Curriculum. According to Wiske (1998), it shifts instruction from a paradigm of memorizing and practicing to one of understanding and applying. It is through Teaching for Understanding that students develop the ability to think and act flexibly with their deep conceptual and procedural knowledge. It is best accomplished through addressing classroom practices and supporting teachers as the primary change agent. Teaching for Understanding is neither a prescriptive nor a linear process, but requires the interweaving of specific teacher and student actions outlined in this brief. Attributes of Teaching for Understanding Critical attributes of Teaching for Understanding include: making learning a long term, thinking centered process providing for rich ongoing assessment supporting learning with powerful representations paying heed to developmental factors inducting students into the discipline teaching for transfer. 9/17/09 TFU 2 Make learning a long-term, thinking-centered process. In Teaching for Understanding, teaching is less about what the teacher does, and more about how the teacher engages students in thinking and demonstrating understanding. Teachers must arrange the environment so that students can think about ideas they are learning for an extended period of time and use the knowledge. According to Pellegrino (2006), "[The] key to expertise is a deep understanding of subject matter that transforms factual information into 'usable knowledge.'" This performance view focuses on the ways in which students use what they know to demonstrate their understanding and operate in the real world. In other words, we know that students understand when they can carry out a variety of “performances” concerning a topic, such as explaining, interpreting, analyzing, relating, comparing, and making analogies (Perkins, 1993, Wiske, 1998). Engage students in Assessment for Learning processes In a Teaching for Understanding context, assessment serves to both evaluate and enhance learning. Assessments are associated with essential concepts and skill sets and are used to provide feedback to students. They gauge progress and inform planning (Wiske, 1998). Effective ongoing assessment: is a PLANNED process is used by both teachers and students takes place DURING instruction provides assessment-based feedback to both teachers and students. helps teachers and students make adjustments that will improve student achievement Support learning with representations and conceptual models Students must develop extensive mental frameworks to organize facts, concepts, and principles into knowledge and understanding. Representing information in “conceptual models” that help students apply new ideas and solve problems can support these frameworks. Technology-assisted learning tools can provide models of key concepts and simulations to confront misconceptions. For example, software that helps learners brainstorm, organize, plan, and create is valuable in helping students to construct their own representations of key concepts (Sherman & Kurshan, 2004). Pay heed to developmental factors Teachers who pay heed to development factors possess a high level of understanding of the needs of each student and plan purposefully to meet those needs (McCormick, 1979; and King & Torgeson, 2006). They are not tied to inflexible notions of what students can and cannot learn at certain ages. They engage in purposeful planning with regard to goals and analysis of content that is vital to student success (Eggen & Kouchak, 1988; Stiggins & DuFour, 2009). New concepts are delivered to students through multiple means of presentation and students are allowed to demonstrate understandings and learning in ways that 9/17/09 TFU 3 build on their individual strengths as learners (Mastropieri, Scruggs, Norland, Berkeley, McDuffie, and Tornquiest, 2006). Induct students into the discipline According to Pellegrino (2006), "... curriculum and instruction [should] be focused on the conceptual organization of knowledge and the teasing out of 'big ideas' in a discipline from the earliest stages of learning onward rather than an undue emphasis on rote knowledge of facts and procedures." Grasping what a concept or principle means depends a considerable part on recognizing how it functions within the discipline. This, in turn, requires students to develop a sense of how the discipline works as a system of thought – how to justify, explain, solve problems, and manage inquiry within the discipline. Teachers must help students learn to master the discourse, forms of evidence, argument, and proof – to study the discipline as scientists, historians, or mathematicians know it. Wallace and Louden contend, “the structure of the discipline should be a powerful consideration when making decisions about how to teach for understanding” (2003). Teach for transfer Our goal for students is to acquire deep conceptual and procedural knowledge that can be applied in diverse settings. To this end, teachers must explicitly teach for transfer by helping students make the connections they might not otherwise make and develop the mental habits of connection-making. Teachers who are Teaching for Understanding ensure students’ performances of understanding reach well beyond the obvious and conventional boundaries of a topic. Students who experience Teaching for Understanding develop deep conceptual and procedural knowledge that allows them to think and act flexibly in new and unpredictable situations. Evidence Base: Teaching for Understanding evidence base may be derived from a variety of sources. Grouws and Cebulla (2000) reviewed research around the importance of teaching for meaning and understanding. Harvard’s Project Zero engaged in a five year research project designed for researchers and practitioners to collaboratively develop, test, and refine a pedagogy of understanding. Additional support can also be found in the research around project-based learning, teaching through problem solving, and teaching through inquiry since these instructional models include many of the attributes of Teaching for Understanding In a review of relevant research by Grouws and Cebulla (2000), they cite a long history of research, going back to the work of William Brownell in the 1940s, on the effects of teaching for meaning and understanding in mathematics. Investigations have consistently shown that an emphasis on teaching for meaning has positive effects on student learning, including better initial learning, greater retention, and an increased likelihood that the ideas will be used in new situations. These results have also been found in studies conducted in high-poverty areas. They also cited research that suggests that students who develop conceptual understanding early perform best on procedural knowledge later. 9/17/09 TFU 4 Harvard researchers have also investigated the results of Teaching for Understanding. The questions that guided their research included: How well did students achieve the understanding goals their teachers set out? Did students in some classes develop deeper understandings than others? If so, how do the classes compare? What might account for any differences in student performances within and across classrooms? (Wiske, 1998) While the researches did not claim a cause-and-effect relationship between Teaching for Understanding and student performances, the results from the study suggests that a number of students in Teaching for Understanding classrooms achieved a mastery level of understanding. Three examples of instructional models which incorporate elements of Teaching for Understanding include project based learning, teaching through problem solving and inquiry based learning. Project based learning. This is an instructional model that incorporates many of the attributes of teaching for understanding. It involves asking students to engage in complex tasks that are based on challenging questions or problems central to the discipline. Students are involved in designing, problem-solving, decision making, and investigating. They make connections between their knowledge and skills and the task or project. Projects are designed to resemble experiences that students could encounter outside of the classroom or school. Several studies support the implementation of the project-based learning model. Barron et al. (1998) developed projects and evaluated students’ performances on tasks linked to these projects for the past several years. According to the researcher, the significance of the study was that it demonstrated that a brief Project Based Learning experience can have a significant impact on students’ problem-solving skills, metacognitive strategies, and attitudes towards learning. In a study by Boaler, it describes a longitudinal study of mathematics instruction conducted in two British secondary schools. The study examined a closely-matched (not randomly assigned) control population over three years. On the national examination, three times as many students from the heterogeneous groups in the project school as those in the tracked groups in the textbook school attained the highest possible grade (Thomas, 2000). Teaching through problem solving. This instructional method infuses many of the attributes of Teaching for Understanding. It asks students to engage in contextualized, relevant, ill-structured problems and to look for meaningful solutions. Teaching through problem solving helps students to extend their thinking and use reasoning skills that are essential if they are to develop a deep and conceptual understanding of concepts. This instructional method also stresses the importance of organized thinking and promotes multiple 9/17/09 TFU 5 approaches for finding solutions. As students are instructed through problem solving, they become confident and learn to work cooperatively (O’Connell, p. 2). In addition, teaching through problem solving provides educators with an instructional tool that will engage students and assist them in making meaningful connections. Educators are empowered to teach based on the research that fewer concepts should be the focus of instruction enabling students to learn at greater depth (Moulds, p. 78). Furthermore, “students can learn new skills and concepts while they are working out solutions to problems” (Grouws and Cebulla, 2000, p. 15). Studies have shown that students taught using this approach “generally exhibited greater conceptual understanding and performed at considerably higher levels with respect to problem solving” (Stein, Boaler, and Silver, 2003). Inquiry based learning. Teaching for Understanding attributes can also be found in teaching through inquiry. A growing pool of research supports the use of Inquiry-Based Learning with students. In Powerful Learning: What We Know about Teaching for Understanding, Linda Darling-Hammond (2008) outlines several principles for supporting inquiry-based instruction. When students engage problems, they encounter learning goals that are linked to disciplinary concepts or processes. Projects/problems are complex, openended, and realistic. Often the problems have multiple solutions and ways of reaching those solutions. Students should receive peer and teacher feedback and be provided with time to revise their work. These experiences are should be collaborative in nature and result in presenting solutions to authentic audiences. Darling-Hammond cites research that spans K-12 years, college, and graduate education across disciplines. Two major conclusions emerge. First, small group inquiry approaches can be extremely powerful learning. In a comparison of four types of problems presented to individuals or cooperative teams, researchers found that teams outperformed individuals on all types of problems and across all ages (Quin, Johnson, and Johnson, 1995). Individual experimental studies have shown that groups outperform individuals on learning tasks and further that individuals who work in groups do better on later individual assessments as well (Barron, 2000b, 2003; O’Donnell & Dansereau, 1992). Second, the benefits of inquiry become apparent when assessments require application of knowledge and measure quality of reasoning. Darling-Hammond advocates for using content to draw students into situations that demand higher order meaning making in inquiry models. There is strong research evidence that suggests that Teaching for Understanding has positive effects on student learning and that there are specific instructional models that facilitate that learning. The three instructional strategies addressed next are critical steps in planning the content, designing instruction and embedding the assessments in instruction. 9/17/09 TFU 6 Planning - The planning stage of instruction is critically important in Teaching for Understanding. Teachers: Articulate what it means to engage authentically in a discipline. This includes examining the concepts, methods, and modes of thinking in a discipline and connecting it to the subject matter content. Examine the curriculum (in Iowa this means examining the Essential Concepts and Skill Sets in the Iowa Core Curriculum), their own priorities, beliefs, and understandings of the subject matter. Determine what is central to the domain or discipline and accessible to students through a range of entry points. Consider the cultural points of view, prior knowledge, and personal interests of the students. Design tasks that “ramp up” to increasingly sophisticated performances of understanding and gradually allow for greater student autonomy. Design tasks so that over time students ultimately become responsible for their own learning. Incorporate students’ ideas and interests into instruction. Instructing – Instruction is designed to ensure that students reach understanding around concepts and skill sets of the Iowa Core Curriculum. Teachers: Engage students in conversations about the meaning of the learning goals. Communicate continuously with students about the overarching goals of their classroom experiences. Build on students’ initial explorations by assigning problems or projects that direct students toward central issues, questions, and understandings. Focus students’ attention and support their performances through structured assignments and ongoing assessments that are often conducted in small groups. Engage students actively in the process of setting standards. Provide students with a great deal of choice and responsibility in selecting project topics and designing their inquiries. Exhibit openness to alternative paths to the learning goals. Engage students in rich instructional tasks and provide guidance and support as they develop their own solutions and strategies. Promote discourse among students to share their solution strategies and justify their reasoning. Summarize targeted concepts and skills and highlight effective representations and strategies. Extend students' thinking by challenging them to apply their knowledge in new situations, especially in real-world situations. Scaffold instructional tasks so that responsibility for learning is gradually released to students. 9/17/09 TFU 7 Students: Perceive connections between the topic and their own interests and knowledge. Learn from one another’s examples and comments when they work together. Engage in work that becomes increasingly complex, open-ended, and selfdirected. Extend their thinking by applying their knowledge in new situations. Gradually take on more responsibility for their learning and become less dependent on the teacher. Engage in coherent conversations that rely on higher order thinking to promote collective understanding around essential concepts and skill sets. Assessment and Evaluation – Assessments are embedded in instruction to inform teaching, as well as monitor and evaluate student progress. Teachers: Articulate learner progressions to reach learning targets. Provide students with clear targets for learning. Provide students with models of both high and low quality work. Provide descriptive feedback to help student progress toward learning targets. Engage students in self and peer assessments to develop metacognitive thinking and understanding of effective learning tactics. Create a classroom climate of collaboration and establish the learning process as a partnership between teachers and students. Students: Use descriptive feedback to monitor their own learning and make adjustments to learning tactics. Engage in ongoing reflection on the learning process through journals, log books, small group or whole class discussions, and other activities. Sources for Teaching for Understanding Barron, B., Schwartz, J., Vye, D., Moore, Petrosino, A., Zech, L., et al., (1998). Doing with understanding: Lessons from research on problem- and project-based learning. The Journal of the Learning Sciences, 7, 271-311. Boaler, J. (1999). Mathematics for the moment, or the millennium? Education Week, 18(29), 30-31. Darling-Hammond, L. et al., (2008). Powerful learning: Teaching for understanding. San Francisco: Jossey-Bass. Eggen, P. & Kauchak, D. (1988). Strategies for teachers: Teaching consent end thinking skills. Englewood Cliffs, NH: Prentice-Hall. Grouws, D., & Cebulla, K. (2000) Improving Student Achievement in Mathematics. Geneva, Switzerland: International Academy of Education. King, R. & Torgeson, J. (2006). Improving the effectiveness of reading instruction in one elementary school: A description of the process. In Blaunstein, P. & Lyon, R. (Eds.) (2006). It Doesn’t Have to be This Way. Lanham, MD: Scarecrow Press, Inc. Mastropieri, M., Scruggs, T. Norland, J., Berkeley, S., McDuffie, K., Tornquist, E., et al., (2006). Differentiated curriculum enhancement in inclusive middle school science: Effects on classroom and high-stakes rests. Journal of Special Education, Fall 2006, 40 (3), 130-137. McCormick, W. (1979). Teachers can learn more effectively. Educational Leadership, 59-60. Moulds, Phillip. (Dec. 2003). Rich Tasks; Open-ended Tasks Involve Students in Connecting Their Learning to the Real World. Instructional Leadership, 75-78. O’Connell, Susan. (2005). Now I get it: Strategies for building confident and competent mathematicians, K-6. Portsmouth, NH: Heinemann. O’Donnell, A. & Dansereau, D. (1992). Scripted cooperation in student dyads: A method for analyzing and enhancing academic learning and performance. In R. Hertz-Lazarowitz & N. Miller (Eds.), Interaction in cooperative groups: The theoretical anatomy of group learning. (pp.120-141). New York: Cambridge University Press. Pellegrino, J. (2006). Commissioned paper on Curriculum, Instruction, Assessment. New Commission on the Skills of the American Workforce. Perkins, D., (1993). Teaching for Understanding. American Educator: The Professional Journal of the American Federation of Teachers; 17(3), 8, 28-35. Quin, A., Johnson, D., &Johnson, R. (1995). Cooperative versus competitive efforts and problem solving. Review of Educational Research, 65(2), 129-143. Sherman, T. & Kurshan, B. (2004). Teaching for Understanding. Learning & Leading with Technology; 32(4), 6-11. 9/17/09 TFU 9 Stein, M., Boaler J., Silver, Edward, A. (2003). Teaching Mathematics through Problem-Solving: Research Perspectives. In Shoen, H., (Ed.), Teaching Mathematics, Grades 6-12. pp. 245-256. Reston, VA: National Council of Teachers of Mathematics. Stiggins, R. & DuFour, R. (2009). Maximizing the power of formative assessments. Phi Delta Kappan, May 2009. 90(9), pp. 640-644. Thomas, J. (2000). A review of the research on project-based learning. Retrieved June 15, 2009, from http://www.ri.net/middletown/mef/linksresources/documents/researchreviewPBL_070226.pdf Wallace, J. & Louden, W. (2003). What we don’t understand about teaching for understanding: Questions from science education. Journal of Curriculum Studies; 35(5), 545-566. Wiske, M. (Ed.), (1998). Teaching for Understanding: Linking Research with Practice. San Francisco, CA: Jossey-Bass.