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The Common Sense of Teaching Mathematics

Author: Caleb Gattegno

Publisher: Educational Solutions World

Published: 2010-07-20

Total Pages: 208

ISBN-13: 0878252207

"Since knowing produces knowledge, and not the other way around, this book shows how everyone can be a producer rather than a consumer of mathematical knowledge. Mathematics can be owned as a means of mathematizing the universe, just as the power of verbalizing molds itself to all the manifold demands of experience." C. Gattegno

Common Sense Mathematics: Second Edition

Author: Ethan D. Bolker

Publisher: American Mathematical Soc.

Published: 2021-01-21

Total Pages: 342

ISBN-13: 147046134X

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Ten years from now, what do you want or expect your students to remember from your course? We realized that in ten years what matters will be how students approach a problem using the tools they carry with them—common sense and common knowledge—not the particular mathematics we chose for the curriculum. Using our text, students work regularly with real data in moderately complex everyday contexts, using mathematics as a tool and common sense as a guide. The focus is on problems suggested by the news of the day and topics that matter to students, like inflation, credit card debt, and loans. We use search engines, calculators, and spreadsheet programs as tools to reduce drudgery, explore patterns, and get information. Technology is an integral part of today's world—this text helps students use it thoughtfully and wisely. This second edition contains revised chapters and additional sections, updated examples and exercises, and complete rewrites of critical material based on feedback from students and teachers who have used this text. Our focus remains the same: to help students to think carefully—and critically—about numerical information in everyday contexts.

The Common Sense of Teaching Mathematics

Author: Caleb Gattegno

Publisher:

Published: 1974

Total Pages: 129

ISBN-13: 9780878250240

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Teaching Mathematics

Author: Brent Davis

Publisher: Taylor & Francis

Published: 1996

Total Pages: 352

ISBN-13: 0815322976

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Departing radically from conventional pedagogical methods, Davis (curriculum studies, U. of British Columbia) uses such diverse fields as continental and pragmatists philosophy, enactivist thought, critical discourses, cognitive theory, evolution, and ecology to challenge the assumptions that permeate much of mathematics teaching. Annotation copyright by Book News, Inc., Portland, OR

Common Sense Mathematics

Author: Ethan D. Bolker

Publisher: The Mathematical Association of America

Published: 2016-05-04

Total Pages: 329

ISBN-13: 1939512107

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Common Sense Mathematics is a text for a one semester college-level course in quantitative literacy. The text emphasizes common sense and common knowledge in approaching real problems through popular news items and finding useful mathematical tools and frames with which to address those questions. We asked ourselves what we hoped our students would remember about this course in ten year’s time. From that ten year perspective thoughts about syllabus–“what topics should we cover?"–seemed much too narrow. What matters more is our wish to change the way our students' minds work–the way they approach a problem, or, more generally, the way they approach the world. Most people “skip the numbers" in newspapers, magazines, on the web and (more importantly) even in financial information. We hope that in ten years our students will follow the news, confident in their ability to make sense of the numbers they find there and in their daily lives. Most quantitative reasoning texts are arranged by mathematical topics to be mastered. Since the mathematics is only a part of what we hope students learn, we've chosen another strategy. We look at real life stories that can be best understood with careful reading and a little mathematics.

Making Sense of Mathematics for Teaching, Grades 3-5

Author: Juli K. Dixon

Publisher: Solution Tree Press

Published: 2016-04-11

Total Pages: 386

ISBN-13: 1942496435

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Develop a deep understanding of mathematics. This user-friendly resource presents grades 3–5 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Focus on an understanding of and procedural fluency with multiplication and division. Address how to learn and teach fraction concepts and operations with depth. Thoroughly teach plane and solid geometry. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Place Value, Addition, and Subtraction 2 Multiplication and Division 3 Fraction Concepts 4 Fraction Operations 5 Geometry 6 Measurement Epilogue Next Steps Appendix A Completed Classification of Triangles Chart Appendix B Completed Diagram for Classifying Quadrilaterals

Making Sense of Mathematics for Teaching High School

Author: Edward C. Nolan

Publisher: Solution Tree Press

Published: 2016-05-19

Total Pages: 273

ISBN-13: 1942496494

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Develop a deep understanding of mathematics by grasping the context and purpose behind various strategies. This user-friendly resource presents high school teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Combine student understanding of functions and algebraic concepts so that they can better decipher the world. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, or modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Gain clarity about the most productive progression of mathematical teaching and learning for high school. Watch short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction Equations and Functions Structure of Equations Geometry Types of Functions Function Modeling Statistics and Probability Epilogue: Next Steps Appendix: Weight Loss Study Data References Index

Teaching Struggling Students in Math

Author: Bill Hanlon

Publisher: R&L Education

Published: 2012-10-12

Total Pages: 166

ISBN-13: 1475800703

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In Teaching Struggling Students in Mathematics, Too Many Grades of D or F, Bill Hanlon provides examples and recommends highly effective and practical instructional and assessment strategies that classroom teachers can immediately implement and that school administrators can readily observe. These high yield strategies build on accepted practices and directly address the needs of struggling students. His no nonsense, common sense approach assists classroom teachers in organizing their instruction by connecting preparation and instruction to student notes, homework, test preparation, and assessments so students study more effectively. This results in increased student performance. Bill also emphasizes the importance of student-teacher relationships and the implementing a success-on-success model. His emphasis on making students more comfortable in their knowledge, understanding, and application of math is demonstrated repeatedly with examples of how to introduce new concepts and skills by linking them to previously learned math and outside experiences. These linkages allow teachers another opportunity to review and reinforce skills or address student deficiencies. Teaching Struggling Students in Mathematics will help your student succeed in math.

Making Sense of Mathematics for Teaching Grades 6-8

Author: Edward C. Nolan

Publisher:

Published: 2016-10-17

Total Pages: 0

ISBN-13: 9781942496472

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"With Making sense of mathematics for teaching grades 6-8, participants have the opportunity to engage in mathematics as learners. This unscripted video program addresses three specific goals: (1) to explore meaningful tasks as learners of mathematics for teaching, (2) to make sense of the TQE process (tasks, questioning, and evidence), and (3) to create a shared vision of classrooms where teachers are supporting the TQE process and students are engaged in meaningful mathematics learning experiences. The program accomplishes these goals through the use of challenging tasks for teachers, effective questions related to classroom content, and classroom video showing tasks modeled during instruction."--Container

Mathematics Teacher Education

Author: Barbara Jaworski

Publisher: Psychology Press

Published: 1999

Total Pages: 234

ISBN-13: 9780750708098

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This text charts current thinking and trends in maths teacher education around the world, and looks critically at the inservice education of maths teachers.