Middle School Teachers - CRIMSTED
Bibliography for Mathematics Knowledge of Middle School Teachers
| N1 | Silver, E. A. and et al. (1993). "Sense Making and the Solution of Division Problems Involving Remainders: An Examination of Middle School Students' Solution Processes and Their Interpretations of Solutions." Journal for Research in Mathematics Education 24(2): 117. |
| N2 | Lamon, S. J. (1993). "Ratio and Proportion: Connecting Content and Children's Thinking." Journal for Research in Mathematics Education 24(1): 41. |
| N3 | Heller, P. M. and et al. (1990). "Qualitative and Numerical Reasoning about Fractions and Rates by Seventh- and Eighth-grade Students." Journal for Research in Mathematics Education 21(5): 388. |
| N4 | Sowder, J., B. Armstrong, et al. (1998). "Educating Teachers to Teach Multiplicative Structures in the Middle Grades." Journal of Mathematics Teacher Education 1(2): 127. |
| N5 | Chinnappan, M. (2000). "Preservice Teachers' Understanding and Representation of Fractions in a JavaBars Environment." Mathematics Education Research Journal 12(3): 234. |
| N6 | Saxe, G. B., M. Gearhart, et al. (2001). "Enhancing Students' Understanding of Mathematics: A Study of Three Contrasting Approaches to Professional Support." Journal of Mathematics Teacher Education 4(1): 55. |
| N7 | Bruno, A., M. C. Espinel, et al. (1997). "Prospective Teachers Solve Additive Problems with Negative Numbers." Focus on Learning Problems in Mathematics 19(4): 36. |
| N8 | Wilson, M. R. (1994). "Implications for Teaching of One Middle School Mathematics Teacher's Understanding of Fractions." |
| N9 | Putnam, R. T. and J. W. Reineke (1993). "Teaching and Learning Mathematics for Understanding in a Fifth-Grade Classroom. Elementary Subjects Center Series No. 91." |
| N10 | Simon, M. A. (1993). "Prospective Elementary Teachers' Knowledge of Division." Journal for Research in Mathematics Education 24(3): 233. |
| N11 | Borko, H. and et al. (1992). "Learning to Teach Hard Mathematics: Do Novice Teachers and Their Instructors Give Up Too Easily?" Journal for Research in Mathematics Education 23(3): 194. |
| N12 | Ball, D. L. (1990). "Prospective Elementary and Secondary Teachers' Understanding of Division." Journal for Research in Mathematics Education 21(2): 132. |
| N13 | Lehrer, R. and M. L. Franke (1992). "Applying Personal Construct Psychology to the Study of Teachers' Knowledge of Fractions." Journal for Research in Mathematics Education 23(3): 223. |
| N14 | Graeber, A. O. and et al. (1989). "Brief Reports: Preservice Teachers' Misconceptions in Solving Verbal Problems in Multiplication and Division." Journal for Research in Mathematics Education 20(1): 95. |
| N15 | Fisher, L. C. (1988). "Strategies Used by Secondary Mathematics Teachers to Solve Proportion Problems." Journal for Research in Mathematics Education 19(2): 157. |
| N16 | Jackson, M. B. and E. R. Phillips (1983). "Vocabulary Instruction in Ratio and Proportion for Seventh Graders." Journal for Research in Mathematics Education 14(5): 337. |
| N17 | Keijzer, R. and J. Terwel (2001). "Audrey's Acquisition of Fractions: A Case Study into the Learning of Formal Mathematics." Educational Studies in Mathematics 47(1): 53. |
| N18 | Dole, S. (2000). "Promoting Percent as a Proportion in Eighth-Grade Mathematics." School Science and Mathematics 100(7): 380. |
| N19 | Singh, P. (2000). "Understanding the Concepts of Proportion and Ratio Constructed by Two Grade Six Students." Educational Studies in Mathematics 43(3): 271. |
| N23 | Tzur, R. (1999). "An Integrated Study of Children's Construction of Improper Fractions and the Teacher's Role in Promoting That Learning." Journal for Research in Mathematics Education 30(4): 390. |
| N27 | Reys, R., B. Reys, et al. (1999). "Assessing Number Sense of Students in Australia, Sweden, Taiwan, and the United States." School Science and Mathematics 99(2): 61. |
| N28 | Linchevski, L. and J. Williams (1999). "Using Intuition from Everyday Life in 'Filling' the Gap in Children's Extension of Their Number Concept To Include the Negative Numbers." Educational Studies in Mathematics 39(1-3): 131. |
| G1 | Rickard, A. (1996). "Connections and Confusion: Teaching Perimeter and Area with a Problem-Solving Oriented Unit." Journal of Mathematical Behavior 15(3): 303. |
| G2 | McDonald, J. L. (1989). "Cognitive Development and the Structuring of Geometric Content." Journal for Research in Mathematics Education 20(1): 76. |
| G3 | Bishop, J. (2000). "Linear Geometric Number Patterns: Middle School Students' Strategies." Mathematics Education Research Journal 12(2): 107. |
| G4 | Ben-Chaim, D. and et al. (1988). "The Effect of Instruction on Spatial Visualization Skills of Middle School Boys and Girls." American Educational Research Journal 25(1): 51. |
| G6 | Thompson, T. E. and C. A. Morford (1980). "A Sequential Development of Metric Measurement Activities for Middle School Students Using the Outdoor Environment." School Science and Mathematics 80(7): 609. |
| G7 | Olson, J. and M. Olson (1982). "Activities for the Young Adolescent." School Science and Mathematics 82(4): 300. |
| G8 | Jones, M. L. and R. E. Rowsey (1990). "The Effects of Immediate Achievement and Retention of Middle School Students Involved in a Metric Unit Designed to Promote the Development of Estimating Skills." Journal of Research in Science Teaching 27(9): 901. |
| G11 | Usiskin, Z. and S. Senk (1990). "Evaluating a Test of van Hiele Levels: A Response to Crowley and Wilson." Journal for Research in Mathematics Education 21(3): 242. |
| G13 | Mayberry, J. (1983). "The Van Hiele Levels of Geometric Thought in Undergraduate Preservice Teachers." Journal for Research in Mathematics Education 14(1): 58. |
| A1 | MacGregor, M. and K. Stacey (1997). "Students' Understanding of Algebraic Notation: 11-15." Educational Studies in Mathematics 33(1): 1. |
| A2 | Breidenback, D. and et al. (1992). "Development of the Process Conception of Function." Educational Studies in Mathematics 23(3): 247. |
| A3 | Leinhardt, G. and et al. (1990). "Functions, Graphs, and Graphing: Tasks, Learning, and Teaching." Review of Educational Research 60(1): 1. |
| A4 | MacGregor, M. and K. Stacey (1993). "Cognitive Models Underlying Students' Formulation of Simple Linear Equations." Journal for Research in Mathematics Education 24(3): 217. |
| A9 | Even, R. (1993). "Subject-Matter Knowledge and Pedagogical Content Knowledge: Prospective Secondary Teachers and the Function Concept." Journal for Research in Mathematics Education 24(2): 94. |
| A11 | Bishop, J. (2000). "Linear Geometric Number Patterns: Middle School Students' Strategies." Mathematics Education Research Journal 12(2): 107. |
| A12 | Ferrandez-Reinisch, A.-M. (1985). "The Acquisition of Inverse Proportionality: A Training Experiment." Journal for Research in Mathematics Education 16(2): 132. |
| A15 | Rosnick, P. (1981). "Some Misconceptions concerning the Concept of Variable." Mathematics Teacher 74(6): 418. |
P1 Fischbein, E. and Gazit, A. (1984). Does the teaching of probability improve probabilistic intuitions? Educational Studies in Mathematics (15)1, 1-24.
P2 Fischbein, E., Nello. M. S., & Marino, M. S. (1991). Factors affecting probabilistic judgments in students and adolescents. Educational Studies in Mathematics, 22, 523-549.
P3 Vahey, P. (March, 1997). Toward an understanding of productive student conceptions of probability: The probability inquiry environment. Paper presented at the Annual Meeting of the American Educational Research Association. Chicago, IL.
P4 Cai, J. (1989) Exploring students' conceptual understanding of the averaging algorithm. School Science and Mathematics, (98)2, 93-98.
P5 Bright, G. W. and Hoeffner, K. (1993). Measurement, probability, statistics and graphing. InD. T. Owens (Ed.), Research Ideas for the Classroom – Middle Grades Mathematics. (pp. 78-98). New York, NY: Macmillan Publishing Company.
P6 Shaughnessy, J. M. (1992). Research on probability and statistics: Reflections and directions. In D. Grouws (Ed.), Handbook of research on the teaching and learning of mathematics (pp. 465-494). New York, NY: Macmillan Publishing Company.
P7 National Research Council. (2001). Adding it up: Helping children learn mathematics. J. Kilpatrick, J. Swafford, and B. Findell (Eds.). Mathematics Learning Study Committee, Center for Education, Division of Behavioral and Social Sciences and Education. Washington, DC: National Academy Press.