-
1
-
-
0003045626
-
Halves, pieces and twoths: Constructing and using representational contexts in teaching fractions
-
T. P. Carpenter, E. Fennema, and T. A. Romberg (Eds.), Hillsdale: Erlbaum
-
Ball, D. (1993). Halves, pieces and twoths: Constructing and using representational contexts in teaching fractions. In T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Rational numbers: An integration of research (pp. 157-195). Hillsdale: Erlbaum.
-
(1993)
Rational Numbers: An Integration of Research
, pp. 157-195
-
-
Ball, D.1
-
3
-
-
0002540715
-
Rational number, ratio, and proportion
-
D. A. Grouws (Ed.), New York: Macmillan
-
Behr, M., Harel, G., Post, T., & Lesh, R. (1992). Rational number, ratio, and proportion. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 296-333). New York: Macmillan.
-
(1992)
Handbook of Research on Mathematics Teaching and Learning
, pp. 296-333
-
-
Behr, M.1
Harel, G.2
Post, T.3
Lesh, R.4
-
6
-
-
0035729517
-
Mapping and development of intuitive proportional thinking
-
Christou, C., & Philippou, G. (2001). Mapping and development of intuitive proportional thinking. Journal of Mathematical Behavior, 20, 321-336.
-
(2001)
Journal of Mathematical Behavior
, vol.20
, pp. 321-336
-
-
Christou, C.1
Philippou, G.2
-
7
-
-
0141651953
-
A comparison of ratios and fractions and their roles as tools in proportional reasoning
-
Clark, M., Berenson, S., & Cavey, O. (2003). A comparison of ratios and fractions and their roles as tools in proportional reasoning. Journal of Mathematical Behavior, 22, 297-317.
-
(2003)
Journal of Mathematical Behavior
, vol.22
, pp. 297-317
-
-
Clark, M.1
Berenson, S.2
Cavey, O.3
-
8
-
-
54749155344
-
Connecting research to teaching proportional reasoning
-
Cramer, K., & Post, T. (1993). Connecting research to teaching proportional reasoning. Mathematics Teacher, 86, 404-407.
-
(1993)
Mathematics Teacher
, vol.86
, pp. 404-407
-
-
Cramer, K.1
Post, T.2
-
9
-
-
0009980501
-
Learning and teaching ratio and proportion: Research implications
-
D. Owens (Ed.), New York: Macmillan
-
Cramer, K., Post, T., & Currier, S. (1993). Learning and teaching ratio and proportion: Research implications. In D. Owens (Ed.), Research ideas for the classroom: Middle grades mathematics (pp. 159-178). New York: Macmillan.
-
(1993)
Research Ideas for the Classroom: Middle Grades Mathematics
, pp. 159-178
-
-
Cramer, K.1
Post, T.2
Currier, S.3
-
10
-
-
65249100652
-
A cognitive diagnosis model for cognitively-based multiple-choice options
-
de la Torre, J. (2009). A cognitive diagnosis model for cognitively-based multiple-choice options. Applied Psychological Measurement, 33, 163-183.
-
(2009)
Applied Psychological Measurement
, vol.33
, pp. 163-183
-
-
de la Torre, J.1
-
11
-
-
77953743410
-
A note on the invariance of the DINA model parameters
-
de la Torre, J., & Lee, Y. S. (2010). A note on the invariance of the DINA model parameters. Journal of Educational Measurement, 47, 115-127.
-
(2010)
Journal of Educational Measurement
, vol.47
, pp. 115-127
-
-
de la Torre, J.1
Lee, Y.S.2
-
12
-
-
77954736976
-
Factors affecting the item parameter estimation and classification accuracy of the DINA model
-
de la Torre, J., Hong, Y., & Deng, W. (2010). Factors affecting the item parameter estimation and classification accuracy of the DINA model. Journal of Educational Measurement, 47, 227-249.
-
(2010)
Journal of Educational Measurement
, vol.47
, pp. 227-249
-
-
de la Torre, J.1
Hong, Y.2
Deng, W.3
-
13
-
-
84885828286
-
Ratio tables to promote proportional reasoning in the primary classroom
-
Dole, S. (2008). Ratio tables to promote proportional reasoning in the primary classroom. Australian Primary Mathematics Classroom, 13, 18-22.
-
(2008)
Australian Primary Mathematics Classroom
, vol.13
, pp. 18-22
-
-
Dole, S.1
-
16
-
-
0000909733
-
Qualitative and numerical reasoning about fractions and rate by seventh and eighth grade students
-
Heller, P., Post, T., Behr, M., & Lesh, R. (1990). Qualitative and numerical reasoning about fractions and rate by seventh and eighth grade students. Journal for Research in Mathematics Education, 21, 388-402.
-
(1990)
Journal for Research in Mathematics Education
, vol.21
, pp. 388-402
-
-
Heller, P.1
Post, T.2
Behr, M.3
Lesh, R.4
-
17
-
-
84901613110
-
Recognising the difference between additive and multiplicative thinking in young children
-
J. Bobis, B. Perry, and M. Mitchelmore (Eds.), Sydney: MERGA
-
Jacob, L., & Willis, S. (2001). Recognising the difference between additive and multiplicative thinking in young children. In J. Bobis, B. Perry, & M. Mitchelmore (Eds.), Numeracy and beyond (Proceedings of the 24th annual conference of the Mathematics Education Research Group of Australasia, Sydney, Vol. 2, pp. 306-313). Sydney: MERGA.
-
(2001)
Numeracy and beyond (Proceedings of the 24th Annual Conference of the Mathematics Education Research Group of Australasia, Sydney, Vol. 2, Pp. 306-313)
-
-
Jacob, L.1
Willis, S.2
-
18
-
-
0002351467
-
Missing-value proportional reasoning problems: Factors affecting informal reasoning patterns
-
G. Harel and J. Confrey (Eds.), Albany: State University of New York Press
-
Kaput, J., & West, M. (1994). Missing-value proportional reasoning problems: Factors affecting informal reasoning patterns. In G. Harel & J. Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 235-287). Albany: State University of New York Press.
-
(1994)
The Development of Multiplicative Reasoning in the Learning of Mathematics
, pp. 235-287
-
-
Kaput, J.1
West, M.2
-
19
-
-
0008772890
-
Early adolescents' proportional reasoning on 'rate' problems
-
Karplus, R., Pulos, S., & Stage, E. (1983). Early adolescents' proportional reasoning on 'rate' problems. Educational Studies in Mathematics, 14, 219-233.
-
(1983)
Educational Studies in Mathematics
, vol.14
, pp. 219-233
-
-
Karplus, R.1
Pulos, S.2
Stage, E.3
-
20
-
-
54949096914
-
Rational numbers and proportional reasoning: Toward a theoretical framework for research
-
F. K. Lester (Ed.), Charlotte: Information Age
-
Lamon, S. (2007). Rational numbers and proportional reasoning: Toward a theoretical framework for research. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 629-668). Charlotte: Information Age.
-
(2007)
Second Handbook of Research on Mathematics Teaching and Learning
, pp. 629-668
-
-
Lamon, S.1
-
21
-
-
0002929122
-
Proportional reasoning
-
J. Hiebert and M. Behr (Eds.), Reston: NCTM
-
Lesh, R., Post, T., & Behr, M. (1988). Proportional reasoning. In J. Hiebert & M. Behr (Eds.), Number concepts and operations in the middle grades (pp. 93-118). Reston: NCTM.
-
(1988)
Number Concepts and Operations in the Middle Grades
, pp. 93-118
-
-
Lesh, R.1
Post, T.2
Behr, M.3
-
22
-
-
0009176767
-
The effect of different approaches to algebra on students' perceptions of functional relationships
-
MacGregor, M., & Stacey, K. (1995). The effect of different approaches to algebra on students' perceptions of functional relationships. Mathematics Education Research Journal, 7, 69-85.
-
(1995)
Mathematics Education Research Journal
, vol.7
, pp. 69-85
-
-
MacGregor, M.1
Stacey, K.2
-
24
-
-
0041378204
-
Diagnostic assessment of children's proportional reasoning
-
Misailidou, C., & Williams, J. (2003). Diagnostic assessment of children's proportional reasoning. Journal of Mathematical Behavior, 22, 335-368.
-
(2003)
Journal of Mathematical Behavior
, vol.22
, pp. 335-368
-
-
Misailidou, C.1
Williams, J.2
-
25
-
-
84873585023
-
The role of structure in children's development of multiplicative reasoning
-
B. Barton, K. C. Irwin, M. Pfannkuch, and M. O. J. Thomas (Eds.), Sydney: MERGA
-
Mulligan, J. (2002). The role of structure in children's development of multiplicative reasoning. In B. Barton, K. C. Irwin, M. Pfannkuch, & M. O. J. Thomas (Eds.), Mathematics education in the South Pacific (Proceedings of the 25th annual conference of the Mathematics Education Research Group of Australasia, Auckland, Vol. 2, pp. 497-503). Sydney: MERGA.
-
(2002)
Mathematics Education in the South Pacific (Proceedings of the 25th Annual Conference of the Mathematics Education Research Group of Australasia, Auckland, Vol. 2, Pp. 497-503)
-
-
Mulligan, J.1
-
26
-
-
0001695025
-
The development of proportional reasoning and the ratio concept: Part I - Differentiation of stages
-
Noelting, G. (1980a). The development of proportional reasoning and the ratio concept: Part I - Differentiation of stages. Educational Studies in Mathematics, 11, 217-253.
-
(1980)
Educational Studies in Mathematics
, vol.11
, pp. 217-253
-
-
Noelting, G.1
-
27
-
-
0002670025
-
The development of proportional reasoning and the ratio concept: part II - problem structure at successive stages; problem solving strategies and the mechanism of adaptive restructuring
-
Noelting, G. (1980b). The development of proportional reasoning and the ratio concept: part II - problem structure at successive stages; problem solving strategies and the mechanism of adaptive restructuring. Educational Studies in Mathematics, 11, 331-363.
-
(1980)
Educational Studies in Mathematics
, vol.11
, pp. 331-363
-
-
Noelting, G.1
-
28
-
-
78649580671
-
(Fish) food for thought: authority shifts in the interaction between mathematics and reality
-
Peled, I. (2010). (Fish) food for thought: authority shifts in the interaction between mathematics and reality. Mathematics Education Research Journal, 22, 108-120.
-
(2010)
Mathematics Education Research Journal
, vol.22
, pp. 108-120
-
-
Peled, I.1
-
29
-
-
0039153310
-
A review of recent research in the area of initial fraction concepts
-
Pitkethly, A., & Hunting, R. (1996). A review of recent research in the area of initial fraction concepts. Educational Studies in Mathematics, 30, 5-38.
-
(1996)
Educational Studies in Mathematics
, vol.30
, pp. 5-38
-
-
Pitkethly, A.1
Hunting, R.2
-
30
-
-
36749086530
-
Understanding the concepts of proportion and ratio constructed by two grade six students
-
Singh, P. (2000). Understanding the concepts of proportion and ratio constructed by two grade six students. Educational Studies in Mathematics, 43, 271-292.
-
(2000)
Educational Studies in Mathematics
, vol.43
, pp. 271-292
-
-
Singh, P.1
-
31
-
-
0001889880
-
Children's multiplying schemes
-
G. Harel and J. Confrey (Eds.), Albany: State University of New York Press
-
Steffe, L. (1994). Children's multiplying schemes. In G. Harel & J. Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 3-39). Albany: State University of New York Press.
-
(1994)
The Development of Multiplicative Reasoning in the Learning of Mathematics
, pp. 3-39
-
-
Steffe, L.1
-
33
-
-
13944269902
-
Not everything is proportional: effects of age and problem type on propensities for overgeneralization
-
van Dooren, W., De Bock, D., Hessels, A., Janssens, D., & Verschaffel, L. (2005). Not everything is proportional: effects of age and problem type on propensities for overgeneralization. Cognition and Instruction, 23, 57-86.
-
(2005)
Cognition and Instruction
, vol.23
, pp. 57-86
-
-
van Dooren, W.1
De Bock, D.2
Hessels, A.3
Janssens, D.4
Verschaffel, L.5
-
34
-
-
62749186054
-
Students' overuse of proportionality on missing-value problems: how numbers may change solutions
-
van Dooren, W., De Bock, D., Evers, M., & Verschaffel, L. (2009). Students' overuse of proportionality on missing-value problems: how numbers may change solutions. Journal for Research in Mathematics Education, 40, 187-211.
-
(2009)
Journal for Research in Mathematics Education
, vol.40
, pp. 187-211
-
-
van Dooren, W.1
De Bock, D.2
Evers, M.3
Verschaffel, L.4
-
37
-
-
84877048063
-
Proportional reasoning: Student knowledge and teachers' pedagogical content knowledge
-
M. Goos, R. Brown, and K. Makar (Eds.), Adelaide: MERGA
-
Watson, J., Callingham, R., & Donne, J. (2008). Proportional reasoning: Student knowledge and teachers' pedagogical content knowledge. In M. Goos, R. Brown, & K. Makar (Eds.), Navigating currents and charting directions (Proceedings of the 31st annual conference of the Mathematics Education Research Group of Australasia, Brisbane, Vol. 2, pp. 563-571). Adelaide: MERGA.
-
(2008)
Navigating Currents and Charting Directions (Proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia, Brisbane, Vol. 2, Pp. 563-571)
-
-
Watson, J.1
Callingham, R.2
Donne, J.3
|