Mathematics in middle and secondary school : a problem solving approach / by Alexander Karp, Teachers College, Columbia University, Nicholas Wasserman, Teachers College, Columbia University
Published
Charlotte, NC : Information Age Publishing, Inc., [2014]
Machine generated contents note: PART I -- 1. Challenges and Issues in Mathematics Education -- Why Teach Mathematics? -- What Is Mathematics? -- NCTM Principles -- Analyzing Lesson Characteristics: An Attempt at Lesson Studies -- Developing the Art of Teaching -- 2. Getting Ready to Teach -- Developing a Mathematics Curriculum -- Developing a Unit Plan -- Developing Lesson Plans -- PART II -- 3. What is Problem Solving and How it is Conceptualized in Mathematics? -- What is a Problem? -- How to Solve a Problem -- 4. Integrating Problem Solving into the Curriculum -- Examining School Reality -- What Roles Can Problem Solving Play in Teaching Mathematics? -- 5. Mathematical Investigation and How to Engage Students in It -- Why Pose Problems? -- Encouraging Students to Pose Problems -- 6. Posing Problems and Groups of Problems -- How to Pose Problems -- Creating Sets of Problems -- PART III -- 7. "The Science of Transposition and Cancellation" -- Algebra: Why is it so hard to teach? -- How to Solve It? A Selection of Problems -- Planning an Algebra Lesson -- 8. Patterns, Functions and Graphs in Mathematics and in School -- Work on the Concept of "Function" -- Overcoming Difficulties in Studying Functions -- 9. Patterns, Functions, and Graphs: Problem Solving and Lesson Planning -- How to Solve it? A Selection of Problems -- Planning Assessment in the Study of Functions -- 10. Solving Equations and Inequalities -- Equations and Inequalities: How They Are Studied and Solved -- How to Solve It? A Selection of Problems -- Planning a Lesson Devoted to Equations -- PART IV -- 11. Geometry as a Science and a School Subject -- How Geometry is Taught and Studied -- Using a Variety of Approaches -- 12. Geometry: Problem Solving and Lesson Planning -- How to Solve It? A Selection of Problems -- Planning a Lesson Devoted to Geometry -- PART V -- 13. Study of Discrete Mathematics -- Finding a Place for the New Course -- How to Solve It? A Selection of Problems -- Planning a Lesson Devoted to Discrete Mathematics
