Reserved Materials for MA 380

Secondary Education Seminar in Mathematics

Crouse, R. J. and Sloyer, C. W., Mathematical Questions from the Classroom Part I. Providence, Rhode Island: Janson Publications, 1987.

This text contains a compilation of mathematical questions raised by the students of pre-service and in-service teachers. Also, suggested solutions to these questions are provided. The mathematical areas covered in the first three chapters are Junior High, Algebra I, and Geometry. Examples of topics include decimals and percents, fractions, exponents, factoring, equations, angles, congruences, polygons, and similarity.

Crouse, R. J. and Sloyer, C. W., Mathematical Questions from the Classroom Part II. Providence, Rhode Island: Janson Publications, 1987.

This text contains a compilation of mathematical questions raised by the students of pre-service and in-service teachers. Also, suggested solutions to these questions are provided. The mathematical areas covered in the last two chapters are Algebra II and Advanced Topics in Secondary Mathematics. Examples of topics include absolute value, logarithms, rational and complex numbers, radicals, derivatives, integrals, asymptotes, functions, series, and sequences.

National Council of Teachers of Mathematics, Principles and Standards for School Mathematics. Reston, VA: NCTM, April 2000.

This 402-page text is organized into 8 chapters and updates previous NCTM standards, including the 1989 Curriculum and Evaluation Standards for School Mathematics, the 1991 Professional Standards for Teaching Mathematics, and the 1995 Assessment Standards for School Mathematics. The preface and first chapter of Principles and Standards outlines the objectives of the effort and the second chapter describes the six principles underlying the recommendations of the document. These principles involve Equity, Curriculum, Teaching, Learning, Assessment, and Technology. Chapter 3 contains an outline of the ten standards describing what mathematics students should know in prekindergarten through grade 12. The five standards addressing mathematical content are Number and Operations, Algebra, Geometry, Measurement, and Data Analysis and Probability; the five standards addressing mathematical processes are Problem Solving, Reasoning and Proof, Communication, Connections, and Representation.

Then, the following 4 chapters discuss the standards applied to four grade bands, namely prekindergarten to grade 2, grades 3 to 5, grades 6 to 8, and grades 9 to 12. For each grade band, suggestions for implementing the standards are offered as well as more specific "expectations" regarding each of the five content standards. The final chapter of Principles and Standards offers suggestions for the continued improvement of mathematics education and the Appendix contains a summary of the standards and expectations in each grade band.

Posamentier, A. S. and Stepelman, J., Teaching Secondary Mathematics: Techniques and Enrichment Units, 5th edition, Upper Saddle River, New Jersey: Prentice Hall, 1999.

The first part of this book considers various aspects and responsibilities of teaching mathematics. The chapters included are

1. "The Mathematics Teacher Today"
2. "Planning Lessons, Assigning Homework, and Using Cooperative Learning"
3. "Teaching More Effective Lessons"
4. "The Role of Problem-Solving Strategies in Teaching Mathematics"
5. "Using Technology to Enhance Mathematics Instruction"
6. "Alternative Student Assessments and Grading Strategies"
7. "Enriching Mathematics Instruction"
8. "Extracurricular Mathematics Instruction"
9. "The Learning Environment, Teacher Sensitivity, and Mathematics Teachers as Professionals".

The second part of the book provided enrichment units for the secondary mathematics curriculum. Each unit provides objectives, pre and post assessment of student understanding, description of the topic, and some teaching strategies.