Middle Grades Mathematics 5–9

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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 Middle Grade Mathematics 5–9. 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. 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 1 to 5.

  2. Beem, J.K. (2005). Geometry connections: Mathematics for middle school teachers. Upper Saddle River, NJ: Prentice Hall.

    Presents a rigorous review of college-level geometry, designed to equip middle grades mathematics teachers with the skills needed for teaching. Demonstrates the presentation and use of geometry in the middle school to assist students in linking the typical college geometry course with the standards-based concepts taught by middle school teachers. Includes a variety of activities designed to deepen the connections between the geometry students are presently studying and the geometry they will teach. Useful for review of competency 3.

  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 1, 3, and 5.

  4. Billstein, R., Shlomo, L., & Lott, J. (2007). A problem solving approach to mathematics for elementary school teachers (9th ed.). Boston: Pearson Addison-Wesley.

    A comprehensive, skills-based resource emphasizing active and collaborative learning. Useful for review of competencies 1 and 5.

  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 1, 2, and 5.

  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 to 5.

  7. 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 1 to 5.

  8. 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 mathematics concepts with integrated print and technology support. Useful for review of competencies 1 to 5.

  9. 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 1 to 5.

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

    Meaningful content and pedagogy to arm 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 1 and 5.

  11. 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 competencies 1 and 5.

  12. 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. Useful for review of competencies 1, 2, and 5.

  13. 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 competencies 1 and 5.

  14. Papick, I.J. (2005). Algebra connections: Mathematics for middle school teachers. Upper Saddle River, NJ: Prentice Hall.

    Introduces some basic concepts of number theory and modern algebra that underlie middle grades arithmetic and algebra, with a focus on collaborative learning combined with extensive in-class and out-of-class assignments. Connects college-level abstract algebra and number theory to standards-based middle grades mathematics curricula. Useful for review of competencies 1 and 2.

  15. 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 1, 2, 4, and 5.

  16. 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 competencies 1, 3, and 5.

  17. 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 findings. Uses real-world applications, puzzles, and extensions to keep students involved and thinking. Useful for review of competencies 1 to 5.

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

    Covers many areas under algebra, trigonometry, calculus, statistics, and probability. Useful for review of competencies 1 to 5.

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

    Presents 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 1, 2, and 5.

  20. 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 1, 2, and 5.

 

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