-
1
-
-
84867366514
-
Conceptualising, investigating and stimulating representational flexibility in mathematical problem solving and learning: A critical review
-
Acevedo Nistal, A., Clarebout, G., Elen, J., Van Dooren, W., & Verschaffel, L. (2009). Conceptualising, investigating and stimulating representational flexibility in mathematical problem solving and learning: A critical review. ZDM-The International Journal on Mathematics Education, 41, 627-636.
-
(2009)
ZDM-The International Journal on Mathematics Education
, vol.41
, pp. 627-636
-
-
Acevedo Nistal, A.1
Clarebout, G.2
Elen, J.3
Van Dooren, W.4
Verschaffel, L.5
-
2
-
-
33646549299
-
DeFT: A conceptual framework for considering learning with multiple representations
-
Ainsworth, S. (2006). DeFT: A conceptual framework for considering learning with multiple representations. Learning and Instruction, 16(3), 183-198.
-
(2006)
Learning and Instruction
, vol.16
, Issue.3
, pp. 183-198
-
-
Ainsworth, S.1
-
3
-
-
53349152273
-
A longitudinal examination of middle school students' understanding of the equal sign and equivalent equations
-
Alibali, M. W., Knuth, E. J., Hattikudur, S., McNeil, N. M., & Stephens, A. C. (2007). A longitudinal examination of middle school students' understanding of the equal sign and equivalent equations. Mathematical Thinking and Learning, 9, 221-246.
-
(2007)
Mathematical Thinking and Learning
, vol.9
, pp. 221-246
-
-
Alibali, M.W.1
Knuth, E.J.2
Hattikudur, S.3
McNeil, N.M.4
Stephens, A.C.5
-
4
-
-
78651231992
-
Solving algebra and other story problems with simple diagrams: A method demonstrated in grade 4-6 texts used in Singapore
-
Beckmann, S. (2004). Solving algebra and other story problems with simple diagrams: A method demonstrated in grade 4-6 texts used in Singapore. The Mathematics Educator, 14, 42-46.
-
(2004)
The Mathematics Educator
, vol.14
, pp. 42-46
-
-
Beckmann, S.1
-
5
-
-
0003012180
-
Emergence and development of algebra as a problem-solving tool
-
N. Bednarz, C. Kieran, amp; L. Lee (Eds.). Dordrecht, The Netherlands : Kluwer.
-
Bednarz, N., & Janvier, B. (1996). Emergence and development of algebra as a problem-solving tool. In N. Bednarz, C. Kieran, & L. Lee (Eds.), Approaches to algebra (pp. 115-145). Dordrecht, The Netherlands : Kluwer.
-
(1996)
Approaches to algebra
, pp. 115-145
-
-
Bednarz, N.1
Janvier, B.2
-
6
-
-
62049083598
-
The effect of illustrations in arithmetic problem-solving: Effects of increasing cognitive load
-
Berends, I. E., & Van Lieshout, E. (2009). The effect of illustrations in arithmetic problem-solving: Effects of increasing cognitive load. Learning and Instruction, 19, 345-353.
-
(2009)
Learning and Instruction
, vol.19
, pp. 345-353
-
-
Berends, I.E.1
Van Lieshout, E.2
-
7
-
-
0004134359
-
-
(Eds.). . Washington, DC : National Academy Press.
-
Bransford, J., Brown, A., & Cocking, R. (Eds.). (1999). How people learn: Brain, mind, experience, and school. Washington, DC : National Academy Press.
-
(1999)
How people learn: Brain, mind, experience, and school
-
-
Bransford, J.1
Brown, A.2
Cocking, R.3
-
8
-
-
33645751958
-
Learning from text with diagrams: Promoting mental model development and inference generation
-
Butcher, K. R. (2006). Learning from text with diagrams: Promoting mental model development and inference generation. Journal of Educational Psychology, 98(1), 182-197.
-
(2006)
Journal of Educational Psychology
, vol.98
, Issue.1
, pp. 182-197
-
-
Butcher, K.R.1
-
9
-
-
84864576133
-
-
Carnegie Learning . Retrieved from
-
Carnegie Learning (2009). Bridge to algebra. Retrieved from http://www.carnegielearning.com/AR2009
-
(2009)
Bridge to algebra
-
-
-
10
-
-
0001668714
-
The acquisition of addition and subtraction concepts in grades one through three
-
Carpenter, T. P., & Moser, J. M. (1984). The acquisition of addition and subtraction concepts in grades one through three. Journal for Research in Mathematics Education, 15, 179-202.
-
(1984)
Journal for Research in Mathematics Education
, vol.15
, pp. 179-202
-
-
Carpenter, T.P.1
Moser, J.M.2
-
11
-
-
85066744180
-
The great debate: Ten years later, with a modest proposal for reading stages
-
L. B Resnick & P. A. Weaver (Eds.), Vol. -). Hillsdale, NJ : Lawrence Erlbaum Associates.
-
Chall, J. S. (1979). The great debate: Ten years later, with a modest proposal for reading stages. In L. B Resnick & P. A. Weaver (Eds.), Theory and practice of early reading (Vol. 1, pp. 29-55). Hillsdale, NJ : Lawrence Erlbaum Associates.
-
(1979)
Theory and practice of early reading
, vol.1
, pp. 29-55
-
-
Chall, J.S.1
-
12
-
-
84948512218
-
Cognitive load theory and the format of instruction
-
Chandler, P., & Sweller, J. (1991). Cognitive load theory and the format of instruction. Cognition and Instruction, 8, 293-332.
-
(1991)
Cognition and Instruction
, vol.8
, pp. 293-332
-
-
Chandler, P.1
Sweller, J.2
-
13
-
-
33845446983
-
The role of understanding in solving algebra word problems
-
Cummins, D. D., Kintsch, W., Reusser, K., & Weimer, R. (1988). The role of understanding in solving algebra word problems. Cognitive Psychology, 20, 405-438.
-
(1988)
Cognitive Psychology
, vol.20
, pp. 405-438
-
-
Cummins, D.D.1
Kintsch, W.2
Reusser, K.3
Weimer, R.4
-
14
-
-
84880434899
-
-
When do diagrams enhance learning? A framework for designing relevant representations. Proceedings of the 8th International Conference on the Learning Sciences . Mawah, NJ : Lawrence Erlbaum Associates, Inc.
-
Davenport, J., Yaron, D., Klahr, D., & Koedinger, K. (2008).When do diagrams enhance learning? A framework for designing relevant representations. Proceedings of the 8th International Conference on the Learning Sciences (pp. 191-198). Mawah, NJ : Lawrence Erlbaum Associates, Inc.
-
(2008)
, pp. 191-198
-
-
Davenport, J.1
Yaron, D.2
Klahr, D.3
Koedinger, K.4
-
15
-
-
0037411652
-
Do realistic contexts and graphic representations always have a beneficial impact on students' performance? Negative evidence from a study on modelling non-linear geometry problems
-
De Bock, D., Verschaffel, L., Janssens, D., Van Dooren, W., & Claes, K. (2003). Do realistic contexts and graphic representations always have a beneficial impact on students' performance? Negative evidence from a study on modelling non-linear geometry problems. Learning and Instruction, 13, 441-463.
-
(2003)
Learning and Instruction
, vol.13
, pp. 441-463
-
-
De Bock, D.1
Verschaffel, L.2
Janssens, D.3
Van Dooren, W.4
Claes, K.5
-
16
-
-
0011964677
-
Children's solution processing in elementary arithmetic problems: Analysis and improvement
-
De Corte, E., & Verschaffel, L. (1981). Children's solution processing in elementary arithmetic problems: Analysis and improvement. Journal of Educational Psychology, 73, 765-779.
-
(1981)
Journal of Educational Psychology
, vol.73
, pp. 765-779
-
-
De Corte, E.1
Verschaffel, L.2
-
17
-
-
0000482988
-
Influence of rewording verbal problems on children's problem representations and solutions
-
De Corte, E., Verschaffel, L., & De Win, L. (1985). Influence of rewording verbal problems on children's problem representations and solutions. Journal of Educational Psychology, 77, 460-470.
-
(1985)
Journal of Educational Psychology
, vol.77
, pp. 460-470
-
-
De Corte, E.1
Verschaffel, L.2
De Win, L.3
-
18
-
-
0000630791
-
Inventing graphing: meta-representational expertise in children
-
diSessa, A. A., Hammer, D., Sherin, B., & Kolpakowski, T. (1991). Inventing graphing: meta-representational expertise in children. Journal of Mathematical Behavior, 10, 117-160.
-
(1991)
Journal of Mathematical Behavior
, vol.10
, pp. 117-160
-
-
diSessa, A.A.1
Hammer, D.2
Sherin, B.3
Kolpakowski, T.4
-
20
-
-
85140090140
-
-
'Tis better to construct than to receive? The effects of diagramming tools on causal reasoning. In R. Luckin, K. Koedinger, amp; J. Greer (Eds.), Proceedings of the 13th International Conference on Artificial Intelligence in Education . Amsterdam, The Netherlands : IOS Press.
-
Easterday, M., Aleven, V., & Scheines, R. (2007). 'Tis better to construct than to receive? The effects of diagramming tools on causal reasoning. In R. Luckin, K. Koedinger, & J. Greer (Eds.), Proceedings of the 13th International Conference on Artificial Intelligence in Education (pp. 93-100). Amsterdam, The Netherlands : IOS Press.
-
(2007)
, pp. 93-100
-
-
Easterday, M.1
Aleven, V.2
Scheines, R.3
-
22
-
-
0001808561
-
Using number-line procedures and peer tutoring to improve the mathematics computation of low-performing first graders
-
Fueyo, V., & Bushell, D. (1998). Using number-line procedures and peer tutoring to improve the mathematics computation of low-performing first graders. Journal of Applied Behavioral Analysis, 31, 417-430.
-
(1998)
Journal of Applied Behavioral Analysis
, vol.31
, pp. 417-430
-
-
Fueyo, V.1
Bushell, D.2
-
23
-
-
12844275984
-
The transfer of scientific principles using concrete and idealized simulations
-
Goldstone, R. L., & Son, J. Y. (2005). The transfer of scientific principles using concrete and idealized simulations. The Journal of the Learning Sciences, 14, 69-110.
-
(2005)
The Journal of the Learning Sciences
, vol.14
, pp. 69-110
-
-
Goldstone, R.L.1
Son, J.Y.2
-
24
-
-
21844506163
-
Educational development and developmental research in mathematics education
-
Gravemeijer, K. (1994). Educational development and developmental research in mathematics education. Journal for Research in Mathematics Education, 25, 443-471.
-
(1994)
Journal for Research in Mathematics Education
, vol.25
, pp. 443-471
-
-
Gravemeijer, K.1
-
25
-
-
0000327148
-
Practicing representation: Learning with and about representational forms
-
Greeno, J. G., & Hall, R. P. (1997). Practicing representation: Learning with and about representational forms. Phi Delta Kappan, 78, 361-367.
-
(1997)
Phi Delta Kappan
, vol.78
, pp. 361-367
-
-
Greeno, J.G.1
Hall, R.P.2
-
26
-
-
0043241188
-
-
The composition effect in symbolizing: The role of symbol production vs. text comprehension. In Proceedings of the Nineteenth Annual Conference of the Cognitive Science Society . Hillsdale, NJ : Lawrence Erlbaum Associates.
-
Heffernan, N. T., & Koedinger, K. R. (1997). The composition effect in symbolizing: The role of symbol production vs. text comprehension. In Proceedings of the Nineteenth Annual Conference of the Cognitive Science Society (pp. 307-312). Hillsdale, NJ : Lawrence Erlbaum Associates.
-
(1997)
, pp. 307-312
-
-
Heffernan, N.T.1
Koedinger, K.R.2
-
27
-
-
0000829869
-
Experiments and relational studies in problem solving: A meta-analysis
-
Hembree, R. (1992). Experiments and relational studies in problem solving: A meta-analysis. Journal for Research in Mathematics Education, 23, 242-273.
-
(1992)
Journal for Research in Mathematics Education
, vol.23
, pp. 242-273
-
-
Hembree, R.1
-
29
-
-
37149049648
-
Singapore math: Simple or complex?
-
Hoven, J., & Garelick, B. (2007). Singapore math: Simple or complex? Educational Leadership, 65, 28-31.
-
(2007)
Educational Leadership
, vol.65
, pp. 28-31
-
-
Hoven, J.1
Garelick, B.2
-
31
-
-
0032032804
-
Levels of expertise and instructional design
-
Kalyuga, S., Chandler, P., & Sweller, J. (1998). Levels of expertise and instructional design. Human Factors, 40, 1-17.
-
(1998)
Human Factors
, vol.40
, pp. 1-17
-
-
Kalyuga, S.1
Chandler, P.2
Sweller, J.3
-
32
-
-
84864576132
-
Pedagogical principles derived from Piaget's theory: Relevance for educational practice
-
M. Schwebel & J. Raph (Eds.). New York, NY : Basic Books.
-
Kamii, C. (1974). Pedagogical principles derived from Piaget's theory: Relevance for educational practice. In M. Schwebel & J. Raph (Eds.), Piaget in the classroom (pp. 199-215). New York, NY : Basic Books.
-
(1974)
Piaget in the classroom
, pp. 199-215
-
-
Kamii, C.1
-
34
-
-
0021907853
-
Understanding and solving word arithmetic problems
-
Kintsch, W., & Greeno, J.G. (1985). Understanding and solving word arithmetic problems. Psychological Review, 92, 109-129.
-
(1985)
Psychological Review
, vol.92
, pp. 109-129
-
-
Kintsch, W.1
Greeno, J.G.2
-
35
-
-
33745947856
-
Middle school students' understanding of core algebraic concepts: Equality & variable
-
Knuth, E., Alibali, M., McNeil, N., Weinberg, A., & Stephens, A. (2005). Middle school students' understanding of core algebraic concepts: Equality & variable. International Reviews on Mathematical Education, 37, 68-76.
-
(2005)
International Reviews on Mathematical Education
, vol.37
, pp. 68-76
-
-
Knuth, E.1
Alibali, M.2
McNeil, N.3
Weinberg, A.4
Stephens, A.5
-
36
-
-
33745962847
-
Does understanding the equal sign matter? Evidence from solving equations
-
Knuth, E., Stephens, A., McNeil, N., & Alibali, M. (2006). Does understanding the equal sign matter? Evidence from solving equations. Journal for Research in Mathematics Education, 37(4), 297-312.
-
(2006)
Journal for Research in Mathematics Education
, vol.37
, Issue.4
, pp. 297-312
-
-
Knuth, E.1
Stephens, A.2
McNeil, N.3
Alibali, M.4
-
37
-
-
84864600418
-
-
A developmental model of algebra problem solving. Paper presented at the annual meeting of the American Educational Research Association in Montreal, Quebec .
-
Koedinger, K. R., & Alibali, M. W. (1999). A developmental model of algebra problem solving. Paper presented at the annual meeting of the American Educational Research Association in Montreal, Quebec .
-
(1999)
-
-
Koedinger, K.R.1
Alibali, M.W.2
-
38
-
-
41449106767
-
Trade-Offs between grounded and abstract representations: Evidence from algebra problem solving
-
Koedinger, K. R., Alibali, M. W., & Nathan, M. J. (2008). Trade-Offs between grounded and abstract representations: Evidence from algebra problem solving. Cognitive Science, 32, 366-397.
-
(2008)
Cognitive Science
, vol.32
, pp. 366-397
-
-
Koedinger, K.R.1
Alibali, M.W.2
Nathan, M.J.3
-
39
-
-
0040737156
-
Illustrating principled design: The early evolution of a cognitive tutor for algebra symbolization
-
Koedinger, K. R., & Anderson, J. R. (1998). Illustrating principled design: The early evolution of a cognitive tutor for algebra symbolization. Interactive Learning Environments, 5, 161-180.
-
(1998)
Interactive Learning Environments
, vol.5
, pp. 161-180
-
-
Koedinger, K.R.1
Anderson, J.R.2
-
40
-
-
2442549739
-
The real story behind story problems: Effects of representations on quantitative reasoning
-
Koedinger, K. R., & Nathan, M. J. (2004). The real story behind story problems: Effects of representations on quantitative reasoning. The Journal of the Learning Sciences, 13, 129-164.
-
(2004)
The Journal of the Learning Sciences
, vol.13
, pp. 129-164
-
-
Koedinger, K.R.1
Nathan, M.J.2
-
41
-
-
33746246086
-
-
A cognitive task analysis of using pictures to support pre-algebraic reasoning. In C.D. Schunn & W. Gray (Eds.), Proceedings of the Twenty-Fourth Annual Conference of the Cognitive Science Society. Mawah, NJ : Lawrence Erlbaum Associates, Inc.
-
Koedinger, K. R., & Terao, A. (2002). A cognitive task analysis of using pictures to support pre-algebraic reasoning. In C.D. Schunn & W. Gray (Eds.), Proceedings of the Twenty-Fourth Annual Conference of the Cognitive Science Society (pp.542-547). Mawah, NJ : Lawrence Erlbaum Associates, Inc.
-
(2002)
, pp. 542-547
-
-
Koedinger, K.R.1
Terao, A.2
-
42
-
-
0037400297
-
Material and social affordances of multiple representations for science understanding
-
Kozma, R. (2003). Material and social affordances of multiple representations for science understanding. Learning and Instruction, 13, 205-226.
-
(2003)
Learning and Instruction
, vol.13
, pp. 205-226
-
-
Kozma, R.1
-
43
-
-
0009925547
-
-
. Glenview, IL : Prentice Hall.
-
Lappan, G., Fey, J., Fitzgerald, W., Friel, S., & Phillips, E. (2002). Getting to know Connected Mathematics: An implementation guide. Glenview, IL : Prentice Hall.
-
(2002)
Getting to know Connected Mathematics: An implementation guide
-
-
Lappan, G.1
Fey, J.2
Fitzgerald, W.3
Friel, S.4
Phillips, E.5
-
44
-
-
0242592090
-
Why a diagram is (sometimes) worth ten thousand words
-
Larkin, J., & Simon, H. (1987). Why a diagram is (sometimes) worth ten thousand words. Cognitive Science, 11, 65-100.
-
(1987)
Cognitive Science
, vol.11
, pp. 65-100
-
-
Larkin, J.1
Simon, H.2
-
45
-
-
65249147721
-
The contributions of working memory and executive functioning to problem representation and solution generation in algebraic word problems
-
Lee, K., Ng, E., & Ng, S. F. (2009). The contributions of working memory and executive functioning to problem representation and solution generation in algebraic word problems. Journal of Educational Psychology, 101, 373-387.
-
(2009)
Journal of Educational Psychology
, vol.101
, pp. 373-387
-
-
Lee, K.1
Ng, E.2
Ng, S.F.3
-
46
-
-
0000616202
-
Students' misconceptions of relational statements in arithmetic word problems
-
Lewis, A. B., & Mayer, R. E. (1987). Students' misconceptions of relational statements in arithmetic word problems. Journal of Educational Psychology, 79, 363-371.
-
(1987)
Journal of Educational Psychology
, vol.79
, pp. 363-371
-
-
Lewis, A.B.1
Mayer, R.E.2
-
47
-
-
0037400259
-
Animation and learning: Selective processing of information in dynamic graphics
-
Lowe, R.K. (2003). Animation and learning: Selective processing of information in dynamic graphics. Learning and Instruction, 13, 157-176.
-
(2003)
Learning and Instruction
, vol.13
, pp. 157-176
-
-
Lowe, R.K.1
-
48
-
-
19744377359
-
The development of nonverbal working memory and executive control processes in adolescents
-
Luciana, M., Conklin, H. M., Hooper, C.J., & Yarger, R. S. (2005). The development of nonverbal working memory and executive control processes in adolescents. Child Development, 76, 697-712.
-
(2005)
Child Development
, vol.76
, pp. 697-712
-
-
Luciana, M.1
Conklin, H.M.2
Hooper, C.J.3
Yarger, R.S.4
-
49
-
-
7444236416
-
Maturation of cognitive processes from late childhood to adulthood
-
Luna, B., Garver, K.E., Urban, T.A., Lazar, N.A., & Sweeney, J.A. (2004). Maturation of cognitive processes from late childhood to adulthood. Child Development, 75, 1357-1372.
-
(2004)
Child Development
, vol.75
, pp. 1357-1372
-
-
Luna, B.1
Garver, K.E.2
Urban, T.A.3
Lazar, N.A.4
Sweeney, J.A.5
-
50
-
-
21344479308
-
Development of abstract reasoning about the physical and social world
-
Marini, Z., & Case, R. (1994). Development of abstract reasoning about the physical and social world. Child Development, 65, 147-159.
-
(1994)
Child Development
, vol.65
, pp. 147-159
-
-
Marini, Z.1
Case, R.2
-
51
-
-
0008755878
-
Systematic thinking fostered by illustrations in scientific text
-
Mayer, R. E. (1989). Systematic thinking fostered by illustrations in scientific text. Journal of Educational Psychology, 81, 240-246.
-
(1989)
Journal of Educational Psychology
, vol.81
, pp. 240-246
-
-
Mayer, R.E.1
-
52
-
-
30644477627
-
Cognitive theory of multimedia learning
-
R. Mayer (Ed.). Cambridge : Cambridge University Press.
-
Mayer, R. (2005). Cognitive theory of multimedia learning. In R. Mayer (Ed.), The Cambridge handbook of multimedia learning (pp. 31-48). Cambridge : Cambridge University Press.
-
(2005)
The Cambridge handbook of multimedia learning
, pp. 31-48
-
-
Mayer, R.1
-
54
-
-
34247361585
-
A generative theory of textbook design: Using annotated illustrations to foster meaningful learning of science text
-
Mayer, R. E., Steinhoff, K., Bower, G., & Mars, R. (1995). A generative theory of textbook design: Using annotated illustrations to foster meaningful learning of science text. Educational Technology Research and Development, 43, 31-44.
-
(1995)
Educational Technology Research and Development
, vol.43
, pp. 31-44
-
-
Mayer, R.E.1
Steinhoff, K.2
Bower, G.3
Mars, R.4
-
55
-
-
0033741145
-
Performance with tables and graphs: Effects of training and a visual search model
-
Meyer, J. (2000). Performance with tables and graphs: Effects of training and a visual search model. Ergonomics, 43, 1840-1865.
-
(2000)
Ergonomics
, vol.43
, pp. 1840-1865
-
-
Meyer, J.1
-
56
-
-
0000291695
-
Affective, cognitive, and metacognitive attributes of eighth-grade mathematical problem solvers
-
Montague, M., Bos, C., & Doucette, M. (1991). Affective, cognitive, and metacognitive attributes of eighth-grade mathematical problem solvers. Learning Disabilities Research & Practice, 6, 145-151.
-
(1991)
Learning Disabilities Research & Practice
, vol.6
, pp. 145-151
-
-
Montague, M.1
Bos, C.2
Doucette, M.3
-
57
-
-
0039445833
-
Multimedia-supported metaphors for meaning making in mathematics
-
Moreno, R., & Mayer, R. C. (1999). Multimedia-supported metaphors for meaning making in mathematics. Cognition and Instruction, 17, 215-248.
-
(1999)
Cognition and Instruction
, vol.17
, pp. 215-248
-
-
Moreno, R.1
Mayer, R.C.2
-
58
-
-
3042578504
-
Paths to learning ten-structured understanding of teen sums: Addition solution methods of Japanese grade 1 students
-
Murata, A. (2004). Paths to learning ten-structured understanding of teen sums: Addition solution methods of Japanese grade 1 students. Cognition and Instruction, 22, 185-218.
-
(2004)
Cognition and Instruction
, vol.22
, pp. 185-218
-
-
Murata, A.1
-
59
-
-
77951137313
-
Mathematics teaching and learning as a mediating process: The case of tape diagrams
-
Murata, A. (2008). Mathematics teaching and learning as a mediating process: The case of tape diagrams. Mathematical Thinking and Learning, 10, 374-406.
-
(2008)
Mathematical Thinking and Learning
, vol.10
, pp. 374-406
-
-
Murata, A.1
-
61
-
-
0000551052
-
A theory of algebra-word-problem comprehension and its implications for the design of learning environments
-
Nathan, M.J., Kintsch, W., & Young, E. (1992). A theory of algebra-word-problem comprehension and its implications for the design of learning environments. Cognition & Instruction, 9, 329-389.
-
(1992)
Cognition & Instruction
, vol.9
, pp. 329-389
-
-
Nathan, M.J.1
Kintsch, W.2
Young, E.3
-
62
-
-
2442545008
-
Moving beyond teachers' intuitive beliefs about algebra learning
-
Nathan, M. J., & Koedinger, K. R. (2000). Moving beyond teachers' intuitive beliefs about algebra learning. Mathematics Teacher, 93, 218-223.
-
(2000)
Mathematics Teacher
, vol.93
, pp. 218-223
-
-
Nathan, M.J.1
Koedinger, K.R.2
-
64
-
-
0003865799
-
-
National Council of Teachers of Mathematics (NCTM) . Reston, VA : Author.
-
National Council of Teachers of Mathematics (NCTM) (2000). Principles and standards for school mathematics.. Reston, VA : Author.
-
(2000)
Principles and standards for school mathematics.
-
-
-
66
-
-
5644273213
-
On the road to graphicacy: The learning of graphical representation systems
-
Postigo, Y., & Pozo, J. I. (2004). On the road to graphicacy: The learning of graphical representation systems. Educational Psychology, 24, 623-644.
-
(2004)
Educational Psychology
, vol.24
, pp. 623-644
-
-
Postigo, Y.1
Pozo, J.I.2
-
67
-
-
77951143232
-
-
Using cognitive models to guide instructional design: The case of fraction division. In J. Moore & K. Stenning (Eds.), Proceedings of the 23rd Annual Conference of the Cognitive Science Society . Mahwah, NJ : Erlbaum.
-
Rittle-Johnson, B., & Koedinger, K. (2001). Using cognitive models to guide instructional design: The case of fraction division. In J. Moore & K. Stenning (Eds.), Proceedings of the 23rd Annual Conference of the Cognitive Science Society (pp. 857-862). Mahwah, NJ : Erlbaum.
-
(2001)
, pp. 857-862
-
-
Rittle-Johnson, B.1
Koedinger, K.2
-
68
-
-
27644461564
-
Designing knowledge scaffolds to support mathematical problem solving
-
Rittle-Johnson, B., & Koedinger, K. R. (2005). Designing knowledge scaffolds to support mathematical problem solving. Cognition and Instruction, 23, 313-349.
-
(2005)
Cognition and Instruction
, vol.23
, pp. 313-349
-
-
Rittle-Johnson, B.1
Koedinger, K.R.2
-
69
-
-
84864578868
-
Monitoring student progress
-
T. A. Romberg & J. de Lange (Eds.), New York : Teachers College Press.
-
Romberg, T. A., & de Lange, J. (2001). Monitoring student progress. In T. A. Romberg & J. de Lange (Eds.), Insight stories: Assessing middle school mathematics. New York : Teachers College Press.
-
(2001)
Insight stories: Assessing middle school mathematics
-
-
Romberg, T.A.1
de Lange, J.2
-
70
-
-
0030269298
-
Shuttling between depictive models and abstract rules: Induction and fallback
-
Schwartz, D., & Black, J. B. (1996). Shuttling between depictive models and abstract rules: Induction and fallback. Cognitive Science, 20, 457-497.
-
(1996)
Cognitive Science
, vol.20
, pp. 457-497
-
-
Schwartz, D.1
Black, J.B.2
-
71
-
-
0001456746
-
Effect of manipulative materials in mathematics instruction
-
Sowell, E. J. (1989). Effect of manipulative materials in mathematics instruction. Journal for Research in Mathematics Education, 20, 498-505.
-
(1989)
Journal for Research in Mathematics Education
, vol.20
, pp. 498-505
-
-
Sowell, E.J.1
-
72
-
-
43749106337
-
Concreteness and symbolic development
-
L. Balter & C. S. Tamis-LeMonda (Eds.), 2nd ed. -). New York : Psychology Press.
-
Uttal, D. H., Liu, L. L., & DeLoache, J. S. (2006). Concreteness and symbolic development. In L. Balter & C. S. Tamis-LeMonda (Eds.), Child psychology: A handbook of contemporary issues (2nd ed., pp. 167-184). New York : Psychology Press.
-
(2006)
Child psychology: A handbook of contemporary issues
, pp. 167-184
-
-
Uttal, D.H.1
Liu, L.L.2
DeLoache, J.S.3
-
73
-
-
0031537386
-
Manipulatives as symbols: A new perspective on the use of concrete objects to teach mathematics
-
Uttal, D. H., Scudder, K. V., & DeLoache, J. S. (1997). Manipulatives as symbols: A new perspective on the use of concrete objects to teach mathematics. Journal of Applied Developmental Psychology, 18, 37-54.
-
(1997)
Journal of Applied Developmental Psychology
, vol.18
, pp. 37-54
-
-
Uttal, D.H.1
Scudder, K.V.2
DeLoache, J.S.3
-
74
-
-
29844458202
-
The promise and practice of learner-generated drawing: Literature review and synthesis
-
Van Meter, P., & Garner, J. (2005). The promise and practice of learner-generated drawing: Literature review and synthesis. Educational Psychology Review, 17, 285-325.
-
(2005)
Educational Psychology Review
, vol.17
, pp. 285-325
-
-
Van Meter, P.1
Garner, J.2
-
75
-
-
21144463808
-
Effects of explicit instruction on math word-problem solving by community college students with learning disabilities
-
Zawaiza, T. R. W., & Gerber, M. M (1993). Effects of explicit instruction on math word-problem solving by community college students with learning disabilities. Learning Disability Quarterly, 16, 64-79.
-
(1993)
Learning Disability Quarterly
, vol.16
, pp. 64-79
-
-
Zawaiza, T.R.W.1
Gerber, M.M.2
|