Mathematics 6–12

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Annotated Bibliography

The annotated bibliography that follows includes basic references that you may find useful in preparing for the exam. Each resource is linked to the competencies and skills found in Section 3 of this guide.

This bibliography is representative of the most important and most comprehensive texts pertaining to the competencies and skills for Mathematics 6 to 12. The Florida Department of Education does not endorse these references as the only appropriate sources for review; many comparable texts currently used in teacher preparation programs also cover the competencies and skills that are tested on the exam.

  1. Ashlock (2005). Error patterns in computation (9th ed.). Upper Saddle River, NJ: Prentice Hall.

    Focuses on providing educators with the instructional tools to recognize and address common errors in order to assist students. Useful for review of competency 6.

  2. Ballman, A.E., Bragg, S.C., Charles, R.I., Handlin, W.G., & Kennedy, D. (2007). Algebra II. Upper Saddle River, NJ: Pearson Prentice Hall.

    Develops readiness for trigonometry, statistics, and precalculus. Reviews and reinforces key skills throughout the text. Useful for review of competencies 2 to 6.

  3. Bennett, J. (2004). Holt middle school math, course 3. Austin, TX: Holt, Rinehart and Winston.

    The final component in a program to ease the transition from arithmetic into algebra. Contains materials to help teachers plan and pace lessons. Useful for review of competencies 3 and 6.

  4. Blitzer, R. (2008). Thinking mathematically (4th ed.). Upper Saddle River, NJ: Pearson Prentice Hall.

    Includes strategies for problem-solving. Useful for review of all competencies.

  5. Boyd, C.J. (2004). Glencoe mathematics: Geometry. New York: Glencoe/McGraw-Hill.

    Familiarizes students with the types of questions and formats they will face on local, state, and national tests. Useful for review of competencies 3 and 6.

  6. Burgis, K., & Morford, J. (2006). Investigating college algebra and trigonometry with technology. Emeryville, CA: Key College Publishing.

    Guides students in using graphing calculators and other technologies to explore patterns and to make, test, and generalize conjectures through investigative, collaborative learning. Useful for review of competencies 2, 3, 5, and 6.

  7. Cangelosi, J.S. (2003). Teaching mathematics in secondary and middle school: An interactive approach (3rd ed.). Upper Saddle River, NJ: Prentice Hall.

    Guides teachers in instructional practices. Useful for review of all competencies.

  8. Cohen, D. (1993). Precalculus (4th ed.). St. Paul, MN: West Publishing.

    Provides students a graphical perspective to develop visual understanding of college algebra and trigonometry. Useful for review of competency 2.

  9. Collins, W., Cuevas, G., Foster, A.G., Gordon, B., Moore-Harris, B., Rath, J., et al. (2001). Algebra 2: Integration, applications, connections. New York: Glencoe/McGraw-Hill.

    Balances sound skill and concept development with applications, connections, problem solving, critical thinking, and technology. Useful for review of competencies 2, 3, 5, and 6.

  10. Foerster, P.A. (2005). Calculus: Concepts and applications (2nd ed.). Berkeley, CA: Key Curriculum Press.

    A conceptual understanding of limits, derivatives, and integrals and their uses. Useful for review of competency 5.

  11. Larson, R., Boswell, L., Kanold, T., & Stiff, L. (2004). Algebra I: Applications, equations, graphs. Evanston, IL: McDougall Littell.

    Helps Algebra I students connect to essential mathematical concepts with integrated print and technology support. Useful for review of competencies 2, 5, and 6.

  12. Larson, R., Boswell, L., Kanold, T.D., & Stiff, L. (2007). Middle school math course 3. Evanston, IL: McDougal Littell.

    A platform for active learning, flexible lesson planning, and effective assessment. Useful for review of competencies 2, 5, and 6.

  13. Larson, R., Boswell, L., Kanold, T.D., & Stiff, L. (2012). Larson geometry common core edition. Orlando, FL: Houghton Mifflin Harcourt.

    Offers instruction in geometry aligned closely with the Common Core State Standards. Useful in review of competency 3.

  14. Larson, R., & Edwards, B. (2006). Calculus (9th ed.). Belmont, CA: Brooks Cole.

    Presents effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Useful for review of competency 5.

  15. Long, C.T., & DeTemple, D. (2005). Mathematical reasoning for elementary teachers (4th ed.). Boston: Pearson Addison-Wesley.

    Provides content and pedagogy to provide education students with the tools they will need to become excellent elementary or middle school teachers. Focuses on professional development and connecting the material to the classroom. Useful for review of competencies 2, 3, 5, and 6.

  16. Mandery, M., & Schneider, M. (2000). Achieving proficiency in mathematics. New York: AMSCO School Publications.

    Promotes mathematical mastery through critical thinking and applied strategies, including use of the calculator as a tool for exploration and implementation. Emphasizes data reading and interpreting statistical information summarized in tables, bar graphs, and line graphs. Useful for review of all competencies.

  17. Moore, D. (2007). The basic practice of statistics. (4th ed.). New York: W.H. Freeman.

    Introduces students with limited mathematical backgrounds to the same tools, techniques, and interpretive skills that working statisticians rely on daily. Useful for review of competency 4.

  18. Musser, G.L., Burger, W.F., & Peterson, B.E. (2004). Essentials of mathematics for elementary teachers (6th ed.). Hoboken, NJ: Wiley.

    Incorporates the many facets of elementary and middle school mathematics in one concise volume. Provides an understanding of mathematics that translates immediately into the classroom. Useful for review of competency 6.

  19. Perkowski, D., & Perkowski, M. (2007). Data analysis and probability connections: Mathematics for middle school teachers. Upper Saddle River, NJ: Pearson Prentice Hall.

    Uses illustrations to assist in making explicit connections between a typical college elementary statistics course and the statistical concepts taught by middle school teachers. Useful for review of competencies 4 and 6.

  20. Posamentier, A.S., Smith, B.S., & Stepelman, J. (2006). Teaching secondary mathematics: Techniques and enrichment units (7th ed.). Upper Saddle River, NJ: Pearson Merrill Prentice Hall.

    Discusses current methods of teaching mathematics, beginning with a brief overview of the history of mathematics education. Includes standards for teaching and assessment. Useful for review of competency 6.

  21. Serra, M. (2008). Discovering geometry: An investigative approach (4th ed.). Berkeley, CA: Key Curriculum Press.

    Enables students to learn theorems and definitions by performing constructions, measuring figures, relating patterns and properties, and discussing their findings. Uses real-world applications, puzzles, and extensions to keep students involved and thinking. Useful for review of competencies 3 and 6.

  22. Smith, K.J. (1991). Problem solving (Brooks/Cole one-unit series in precalculus mathematics). Belmont, CA: Thomson Brooks/Cole.

    Covers many areas in algebra, trigonometry, calculus, statistics, and probability. Useful for review of all competencies.

  23. Stewart, J. (1999). Single variable calculus early transcendentals (4th ed.). Pacific Grove, CA: Brooks Cole.

    Uses examples and built-in learning aids to help develop technical competence. Useful for review of competency 5.

  24. Sullivan, M. (2003). College algebra enhanced with graphing utilities. Upper Saddle River, NJ: Prentice Hall.

    Integrates use of graphing calculators, active learning, and technology to foster understanding of key concepts. Useful for review of competencies 2 and 5.

  25. Van de Walle, J. (2006). Elementary and middle school mathematics: Teaching developmentally (6th ed.). Boston: Pearson Allyn & Bacon.

    Reviews four key aspects of teaching mathematics: the nature of mathematics as a science of pattern and order, an understanding of how children learn mathematics, a problem-solving view of teaching mathematics, and specific methods for integrating assessment with instruction. Useful for review of competencies 2, 3, and 5.

  26. Wheeler, R., & Wheeler, E. (2005). Modern mathematics: Fundamentals and concepts (12th ed.). Dubuque, IA: Kendall/Hunt Publishing Co.

    Addresses selected topics without compromising coverage of critical prerequisites. Useful for review of competencies 2, 3, and 5.

 

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