Full Version Making Sense of Mathematics for Teaching Grades 3-5: Learn and Teach Concepts and
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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.BenefitsDig 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.ContentsIntroduction1 Place Value, Addition, and Subtraction2 Multiplication and Division3 Fraction Concepts4 Fraction Operations5 Geometry6 MeasurementEpilogue Next StepsAppendix A Completed Classification of Triangles ChartAppendix B Completed Diagram for Classifying Quadrilaterals"
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.BenefitsDig 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.ContentsIntroduction1 Place Value, Addition, and Subtraction2 Multiplication and Division3 Fraction Concepts4 Fraction Operations5 Geometry6 MeasurementEpilogue Next StepsAppendix A Completed Classification of Triangles ChartAppendix B Completed Diagram for Classifying Quadrilaterals"