{"product_id":"teaching-and-learning-high-school-mathematics-isbn-9780470454503","title":"Teaching and Learning High School Mathematics","description":"Too many high school students, faced with mathematics in courses at the level of algebra and beyond, find themselves struggling with abstract concepts and unwilling to pursue further study of mathematics. When students curtail their course taking in mathematics, they may be impacting their college and career options. Thus, high school mathematics teachers have the responsibility to help students recognize the value and importance of mathematics while also designing instruction that makes mathematics accessible to all students.  \u003cp\u003eBall and Bass (2000), as well as other mathematics educators, have recognized that mathematics teachers not only need to know mathematics content and mathematics pedagogy (i.e., teaching strategies) but they also need to know how these ideas are integrated. This \u003ci\u003emathematical knowledge for teaching\u003c\/i\u003e is the knowledge that teachers of mathematics need and it differs from the knowledge that research or applied mathematicians must know. This text is designed to provide teachers with insights into this mathematical knowledge for teaching.\u003c\/p\u003e \u003cp\u003e\u003ci\u003eTeaching and Learning High School Mathematics\u003c\/i\u003e is likely different from many other texts that you have used. It integrates both content and pedagogy to help you develop and build your own understanding of teaching. The text is designed to help you develop “deep conceptual understanding of fundamental mathematics” (Ma 1999) so that you are able to approach mathematics from multiple perspectives with many tools. Such flexibility in teaching is essential if teachers are to help \u003ci\u003eall\u003c\/i\u003e students become mathematically proficient.\u003c\/p\u003e \u003cp\u003eThroughout this book, you are encouraged to work in cooperative teams. This strategy is designed to help you develop a mathematics learning community and build a professional network that will be a valuable resource during your professional career. Hopefully, you will experience the benefits of engaging in rich mathematical discussions with peers and consider how to encourage such learning environments in your own classrooms.\u003c\/p\u003e \u003cp\u003eLesson planning is another element pervasive throughout this text. To help teachers plan for effective student-centered lessons, the \u003cb\u003eQuestion Response Support (QRS) Guide\u003c\/b\u003e is introduced in Lesson 1.1 and used throughout the remainder of the lessons. The \u003cb\u003eQRS Guide\u003c\/b\u003e is a tool on which teachers may record tasks or questions (\u003cb\u003eQ\u003c\/b\u003e) for students, expected and observed student responses (\u003cb\u003eR\u003c\/b\u003e), and teacher support (\u003cb\u003eS\u003c\/b\u003e) in the form of additional “just enough” questions to support students in their progress on the task. In each unit, teachers expand their repertoire of teaching and learning elements and strategies and incorporate these elements as they plan additional lesson segments. In Unit 4 lesson planning is formally introduced as teachers put together elements from previous units into complete, cohesive lesson plans.\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cb\u003eCourse Introduction\u003c\/b\u003e \u003cp\u003eMathematics Education: Where Do I Stand?\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit One. Encouraging Communication in Mathematics Classrooms\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e(Mathematics Strand: Logic and Reasoning)\u003c\/p\u003e \u003cp\u003eUnit One Team-Builder: Carpet Square Maze\u003c\/p\u003e \u003cp\u003ePreparing to Observe Mathematics Classrooms: Focus on Equity\u003c\/p\u003e \u003cp\u003eListening to Students Reason About Mathematics\u003c\/p\u003e \u003cp\u003e1.1 Developing Questioning Strategies: Conjecturing and Reasoning\u003c\/p\u003e \u003cp\u003e1.2 Exploring Mathematical Concepts Cooperatively: Reasoning with Conditional Statements\u003cbr\u003e\u003cbr\u003e1.3 Using Representations to Investigate Mathematics: Reasoning with Conjunctions, Disjunctions, and Negations\u003c\/p\u003e \u003cp\u003e1.4 Learning from Students: Valid and Invalid Arguments\u003c\/p\u003e \u003cp\u003e1.5  Summarizing Classroom Observations and Listening to Students: Focus on Equity Synthesizing Unit One \u003cbr\u003e\u003cbr\u003e\u003ci\u003eUnit One Investigation: Carpet Square Mazes\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit Two. High School Students and How They Learn\u003c\/b\u003e\u003ci\u003e            \u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e(Mathematics Strands: Geometry and Measurement)\u003c\/p\u003e \u003cp\u003eUnit Two Team-Builder: Transformed Snowflakes                \u003c\/p\u003e \u003cp\u003ePreparing to Observe Mathematics Classrooms: Focus on Learning            \u003c\/p\u003e \u003cp\u003eListening to Students Reason About Geometry                     \u003c\/p\u003e \u003cp\u003eUnderstanding Geometry Learning: Coordinate Geometry         \u003c\/p\u003e \u003cp\u003e2.2 Building Conceptual Understanding: Congruence and Similarity\u003c\/p\u003e \u003cp\u003e2.3 Learning Mathematics through Multiple Perspectives: Quadrilaterals and Constructions\u003c\/p\u003e \u003cp\u003e2.4 Using Physical Tools and Technology: Circles\u003c\/p\u003e \u003cp\u003e2.5 Tasks with High Cognitive Demand: Measurement in the Plane and in Space\u003c\/p\u003e \u003cp\u003e2.6 Doing Mathematics: Axiomatic Systems\u003c\/p\u003e \u003cp\u003e2.7 Summarizing Classroom Observations and Listening to Students Synthesizing Unit Two\u003c\/p\u003e \u003cp\u003eUnit Two Investigation: Transformations\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit Three. Planning for Instruction\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e(Mathematics Strands: Algebra and Functions)\u003c\/p\u003e \u003cp\u003eUnit Three Team-Builder: Find Your Function Family\u003c\/p\u003e \u003cp\u003ePreparing to Observe Mathematics Classrooms: Focus on Curriculum and Technology          \u003cbr\u003e\u003cbr\u003eListening to Students Reason about Functions\u003c\/p\u003e \u003cp\u003e3.1 Building on Students' Knowledge and Experiences: Understanding Variables and Linear Functions  \u003cbr\u003e\u003cbr\u003e3.2 Thinking about Learning Outcomes: Exponential Functions                  \u003c\/p\u003e \u003cp\u003e3.3 Active Learning: Modeling Data Through Experiments   \u003c\/p\u003e \u003cp\u003e3.4 Teaching with Technology: Geometry of Functions\u003c\/p\u003e \u003cp\u003e3.5 Increasing Challenge or Accessibility of Problems: Polynomial Functions\u003c\/p\u003e \u003cp\u003e3.6 Accommodating Different Learning Styles: Rational Functions\u003c\/p\u003e \u003cp\u003e3.7 Summarizing Observations and Listening to Students                          \u003c\/p\u003e \u003cp\u003eSynthesizing Unit  Three                                                                                \u003c\/p\u003e \u003cp\u003e\u003ci\u003eUnit Three Investigation: Families of Functions\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit Four. Lesson Planning\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e(Mathematics Strands: Data Analysis and Probability)\u003c\/p\u003e \u003cp\u003eUnit Four Team-Builder: A Dream Team in Hockey\u003c\/p\u003e \u003cp\u003ePreparing to Observe Mathematics Classrooms: Focus on Teaching\u003c\/p\u003e \u003cp\u003eListening to Students Reason about Data Analysis and Probability\u003c\/p\u003e \u003cp\u003e4.1 Planning a Lesson Launch and Explore: Data Analysis\u003c\/p\u003e \u003cp\u003e4.2 Planning a Lesson Share and Summarize: Probability\u003c\/p\u003e \u003cp\u003e4.3 Blending Direct Instruction into a Lesson: Variability and Distributions\u003c\/p\u003e \u003cp\u003e4.4 Planning for Alternative Schedules: Statistical Decision Making\u003c\/p\u003e \u003cp\u003e4.5 Summarizing Observations and Listening to Students               \u003c\/p\u003e \u003cp\u003eSynthesizing Unit Four                 \u003c\/p\u003e \u003cp\u003eUnit Four Investigation: Build Your Own Dream Team\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit Five. Assessment of Students' Learning  \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e(Mathematics Strand: Precalculus)\u003c\/p\u003e \u003cp\u003eUnit Five Team-Builder: Conic Conundrum\u003c\/p\u003e \u003cp\u003ePreparing to Observe Mathematics Classrooms:Focus on Assessment          \u003c\/p\u003e \u003cp\u003eListening to Students Reason about Precalculus\u003cbr\u003e\u003cbr\u003e5.1 Daily Assessments: Limits                                                     \u003c\/p\u003e \u003cp\u003e5.2 Rubrics: Rates of Change\u003c\/p\u003e \u003cp\u003e5.3 Designing and Aligning Tests with Instruction\u003c\/p\u003e \u003cp\u003e5.4 Alternative Assessments: Accumulations\u003c\/p\u003e \u003cp\u003e5.5 Summarizing Observations and Listening to Students Synthesizing Unit Five\u003c\/p\u003e \u003cp\u003e\u003ci\u003eUnit Five Investigation: Conic Sections\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit Six. Collaborating with Educational Partners\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eListening to Educational Partners about Issues in Mathematics Education\u003c\/p\u003e \u003cp\u003e6.1 Evaluating Curriculum Materials\u003c\/p\u003e \u003cp\u003e6.2 Coordinating Curricula Beyond the Classroom\u003c\/p\u003e \u003cp\u003e6.3 Continued Professional Development        \u003c\/p\u003e \u003cp\u003e6.4 Summarizing Interviews on Educational Issues\u003c\/p\u003e \u003cp\u003eSynthesizing Unit Six\u003c\/p\u003e \u003cp\u003e\u003cb\u003eDr. Charlene Beckmann\u003c\/b\u003e is a professor of Mathematics at Grand Valley State University. Her research interests include: assessment, cooperative learning, real life uses of mathematics, functions, games, literature and mathematics, technology, how conceptual understanding builds their ability to understand and write proofs.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47990135455973,"sku":"NP9780470454503","price":142.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780470454503.jpg?v=1761786639","url":"https:\/\/k12savings.com\/products\/teaching-and-learning-high-school-mathematics-isbn-9780470454503","provider":"K12savings","version":"1.0","type":"link"}