-
1
-
-
0002100652
-
Symbol sense: Informal sense-making in formal mathematics
-
Arcavi, A.: 1994, 'Symbol sense: Informal sense-making in formal mathematics', For the Learning of Mathematics 14 (3), 24-35.
-
(1994)
For the Learning of Mathematics
, vol.14
, Issue.3
, pp. 24-35
-
-
Arcavi, A.1
-
2
-
-
0001754927
-
The effects of instruction on children's understanding of he 'equals' sign
-
Baroody, A.J. and Ginsburg, H.P.: 1983, 'The effects of instruction on children's understanding of he 'equals' sign', The Elementary School Journal 84, 199-212.
-
(1983)
The Elementary School Journal
, vol.84
, pp. 199-212
-
-
Baroody, A.J.1
Ginsburg, H.P.2
-
3
-
-
84963486131
-
An integrated model of skills in solving elementary word problems
-
Briars, D.J. and Larkin, J.H.: 1984, 'An integrated model of skills in solving elementary word problems', Cognition and Instruction 1, 245-296.
-
(1984)
Cognition and Instruction
, vol.1
, pp. 245-296
-
-
Briars, D.J.1
Larkin, J.H.2
-
4
-
-
0000483919
-
Development of the process conception of function
-
Breidenbach, D.E., Dubinsky, E., Hawks, J. and Nichols, D.: 1992, 'Development of the process conception of function', Educational Studies in Mathematics 23, 247-285.
-
(1992)
Educational Studies in Mathematics
, vol.23
, pp. 247-285
-
-
Breidenbach, D.E.1
Dubinsky, E.2
Hawks, J.3
Nichols, D.4
-
5
-
-
85092751085
-
Learning to add and subtract: An exercise in problem solving
-
E.A. Silver (ed.), Erlbaum, Hillsdale, NJ
-
Carpenter, T.P.: 1985, 'Learning to add and subtract: An exercise in problem solving', in E.A. Silver (ed.), Teaching and learning mathematical problem solving: Multiple research perspectives, Erlbaum, Hillsdale, NJ, pp. 17-40.
-
(1985)
Teaching and Learning Mathematical Problem Solving: Multiple Research Perspectives
, pp. 17-40
-
-
Carpenter, T.P.1
-
6
-
-
84989419241
-
Mathematical concepts in everyday life
-
G.B. Saxe and M. Gearhart (eds.), Jossey-Bass, San Francisco
-
Carraher, T.N., Schliemann, A.D. and Carraher, D.W.: 1988, 'Mathematical concepts in everyday life', in G.B. Saxe and M. Gearhart (eds.), Children's Mathematics, Jossey-Bass, San Francisco, pp. 71-87.
-
(1988)
Children's Mathematics
, pp. 71-87
-
-
Carraher, T.N.1
Schliemann, A.D.2
Carraher, D.W.3
-
7
-
-
0003124075
-
A constructivist alternative to the representational view of mind in mathematics education
-
Cobb, P., Yackel, E. and Wood, T.: 1992, 'A constructivist alternative to the representational view of mind in mathematics education', Journal for Research in Mathematics Education 23(1), 2-33.
-
(1992)
Journal for Research in Mathematics Education
, vol.23
, Issue.1
, pp. 2-33
-
-
Cobb, P.1
Yackel, E.2
Wood, T.3
-
8
-
-
21844504051
-
Splitting, covaration, and their role in the development of exponential functions
-
Confrey, J. and Smith, E.: 1995, 'Splitting, covaration, and their role in the development of exponential functions', Journal for Research in Mathematics Education 26(1), 66-86.
-
(1995)
Journal for Research in Mathematics Education
, vol.26
, Issue.1
, pp. 66-86
-
-
Confrey, J.1
Smith, E.2
-
11
-
-
42549147889
-
Algebraic procedures used by 13-to-15-years olds
-
Demby, A.: 1997, 'Algebraic procedures used by 13-to-15-years olds', Educational Studies in Mathematics 33(1), 45-70.
-
(1997)
Educational Studies in Mathematics
, vol.33
, Issue.1
, pp. 45-70
-
-
Demby, A.1
-
12
-
-
0009257532
-
Solving equations: The transition from arithmetic to algebra
-
Filloy, E. and Rojano, T.: 1989, 'Solving equations: The transition from arithmetic to algebra', For the learning of Mathematics 9(2), 19-25.
-
(1989)
For the Learning of Mathematics
, vol.9
, Issue.2
, pp. 19-25
-
-
Filloy, E.1
Rojano, T.2
-
13
-
-
21444451370
-
Young children's perceptions of mathematics in problem-solving environments
-
Franke, M.L. and Carey, D.A.: 1997, 'Young children's perceptions of mathematics in problem-solving environments', Journal for Research in Mathematics Education 28(1), 8-25.
-
(1997)
Journal for Research in Mathematics Education
, vol.28
, Issue.1
, pp. 8-25
-
-
Franke, M.L.1
Carey, D.A.2
-
14
-
-
0002776706
-
Research on whole number addition and subtraction
-
D. Grouws (ed.), MacMillan, New York
-
Fuson, K.C.: 1992a, 'Research on whole number addition and subtraction', in D. Grouws (ed.), Handbook of Research on Mathematics Teaching and Learning, MacMillan, New York, pp. 243-275.
-
(1992)
Handbook of Research on Mathematics Teaching and Learning
, pp. 243-275
-
-
Fuson, K.C.1
-
15
-
-
0001886704
-
Research on learning and teaching addition and subtraction of whole numbers
-
G. Leinhardt, R.T. Putnam and R.A. Hattrups (eds.), Erlbaum, Hillsdale, NJ
-
Fuson, K.C.: 1992b, 'Research on learning and teaching addition and subtraction of whole numbers', in G. Leinhardt, R.T. Putnam and R.A. Hattrups (eds.), The Analysis of Arithmetic for Mathematics Teaching, Erlbaum, Hillsdale, NJ, pp. 53-187.
-
(1992)
The Analysis of Arithmetic for Mathematics Teaching
, pp. 53-187
-
-
Fuson, K.C.1
-
16
-
-
21744443187
-
Children's conceptual structures for multidigit numbers and methods of multidigit addition and subtraction
-
Fuson, K.C., Wearne, D., Hiebert, J.C., Murray, H.G., Human, P.G., Olivier, A.I., Carpenter, T.P. and Fennema, E.: 1997, 'Children's conceptual structures for multidigit numbers and methods of multidigit addition and subtraction', Journal for Research in Mathematics Education 28(2), 130-162.
-
(1997)
Journal for Research in Mathematics Education
, vol.28
, Issue.2
, pp. 130-162
-
-
Fuson, K.C.1
Wearne, D.2
Hiebert, J.C.3
Murray, H.G.4
Human, P.G.5
Olivier, A.I.6
Carpenter, T.P.7
Fennema, E.8
-
18
-
-
0000834849
-
A theory of developing competence with written mathematical symbols
-
Hiebert, J.: 1988, 'A theory of developing competence with written mathematical symbols', Educational Studies in Mathematics 19, 333-355.
-
(1988)
Educational Studies in Mathematics
, vol.19
, pp. 333-355
-
-
Hiebert, J.1
-
19
-
-
0001897964
-
Learning and teaching with understanding
-
D. Grouws (ed.) MacMillan, New York
-
Hiebert, J. and Carpenter, T.P.: 1992, 'Learning and teaching with understanding', in D. Grouws (ed.), Handbook of Research on Mathematics Teaching and Learning, MacMillan, New York, pp. 65-97.
-
(1992)
Handbook of Research on Mathematics Teaching and Learning
, pp. 65-97
-
-
Hiebert, J.1
Carpenter, T.P.2
-
20
-
-
0001773560
-
Problem solving as a basis for reform in curriculum and instruction: The case of mathematics
-
Hiebert, J., Carpenter, T.P., Fennema, E., Fuson, K., Human, P., Murray, H., Olivier, A. and Wearne, D.: 1996, 'Problem solving as a basis for reform in curriculum and instruction: The case of mathematics', Educational Researcher 25(4), 12-21.
-
(1996)
Educational Researcher
, vol.25
, Issue.4
, pp. 12-21
-
-
Hiebert, J.1
Carpenter, T.P.2
Fennema, E.3
Fuson, K.4
Human, P.5
Murray, H.6
Olivier, A.7
Wearne, D.8
-
21
-
-
21144460314
-
Instructional tasks, classroom discourse, and students' learning in second-grade arithmetic classrooms
-
Hiebert, J. and Wearne, D.: 1993, 'Instructional tasks, classroom discourse, and students' learning in second-grade arithmetic classrooms', American Educational Research Journal 30(2), 393-425.
-
(1993)
American Educational Research Journal
, vol.30
, Issue.2
, pp. 393-425
-
-
Hiebert, J.1
Wearne, D.2
-
22
-
-
85085448896
-
Linking representations in the symbol systems of algebra
-
S. Wagner and C. Kieran (eds.), NCTM, Reston
-
Kaput, J.J.: 1989, 'Linking representations in the symbol systems of algebra, in S. Wagner and C. Kieran (eds.), Research Issues in the Learning and Teaching of Algebra, NCTM, Reston, pp. 167-194.
-
(1989)
Research Issues in the Learning and Teaching of Algebra
, pp. 167-194
-
-
Kaput, J.J.1
-
23
-
-
3042832439
-
A research base supporting long term algebra reform?
-
D.T. Owens, M.K. Reed and G.M. Millsaps (eds.), Columbus, Ohio
-
Kaput, J.J.: 1995, 'A research base supporting long term algebra reform?', in D.T. Owens, M.K. Reed and G.M. Millsaps (eds.), Proceedings of PME-NA XVII, Columbus, Ohio, pp. 71-94.
-
(1995)
Proceedings of PME-NA XVII
, pp. 71-94
-
-
Kaput, J.J.1
-
25
-
-
0002050688
-
The learning and teaching of school algebra
-
D.A. Grouws (ed.), MacMillan, New York
-
Kieran, C.: 1992, 'The learning and teaching of school algebra', in D.A. Grouws (ed.), Handbook of Research on Mathematics Teaching and Learning, MacMillan, New York, pp. 390-419.
-
(1992)
Handbook of Research on Mathematics Teaching and Learning
, pp. 390-419
-
-
Kieran, C.1
-
26
-
-
29444437281
-
Recursion and the mathematical experience
-
L. Steffe (ed.), Springer-Verlag, New York
-
Kieren, T.E. and Pirie, S.E.B.: 1991, 'Recursion and the mathematical experience', in L. Steffe (ed.), The Epistemology of Mathematical Experience, Springer-Verlag, New York.
-
(1991)
The Epistemology of Mathematical Experience
-
-
Kieren, T.E.1
Pirie, S.E.B.2
-
28
-
-
0009254295
-
Students' understanding of algebraic notation: 11-15
-
MacGregor, M. and Stacey, K.: 1997, 'Students' understanding of algebraic notation: 11-15', Educational Studies in Mathematics 33(1), 1-19.
-
(1997)
Educational Studies in Mathematics
, vol.33
, Issue.1
, pp. 1-19
-
-
MacGregor, M.1
Stacey, K.2
-
29
-
-
0345781459
-
Towards a computational theory of algebraic competenece
-
Matz, M.: 1980, 'Towards a computational theory of algebraic competenece', Journal of Mathematical Behavior 3(1), 93-166.
-
(1980)
Journal of Mathematical Behavior
, vol.3
, Issue.1
, pp. 93-166
-
-
Matz, M.1
-
30
-
-
0001996725
-
Learning and development
-
R.E. Ripple and V.N. Rockcastle (eds.), Cornell University, Ithaca, NY
-
Piaget, J.: 1964, 'Learning and development', in R.E. Ripple and V.N. Rockcastle (eds.), Piaget Rediscovered: A Report of the Conference on Cognitive Studies and Curriculum Development, Cornell University, Ithaca, NY, pp. 7-20.
-
(1964)
Piaget Rediscovered: a Report of the Conference on Cognitive Studies and Curriculum Development
, pp. 7-20
-
-
Piaget, J.1
-
31
-
-
0002814286
-
Development of children's problem solving ability in arithmetic
-
H. Ginsburg (ed.), Academic Press, New York
-
Riley, M.S., Greeno, J.G. and Heller, J.I.: 1983, 'Development of children's problem solving ability in arithmetic', in H. Ginsburg (ed.), The Development of Mathematical Thinking, Academic Press, New York, pp. 153-196.
-
(1983)
The Development of Mathematical Thinking
, pp. 153-196
-
-
Riley, M.S.1
Greeno, J.G.2
Heller, J.I.3
-
32
-
-
0000268131
-
From protoquantities to operators: Building mathematical competence on a foundation of everyday knowledge
-
G. Leinhardt, R.T. Putnam and R.A. Hattrups (eds.), Erlbaum, Hillsdale, NJ
-
Resnick, L.B.: 1992, 'From protoquantities to operators: Building mathematical competence on a foundation of everyday knowledge, in G. Leinhardt, R.T. Putnam and R.A. Hattrups (eds.), The Analysis of Arithmetic for Mathematics Teaching, Erlbaum, Hillsdale, NJ, pp. 373-429.
-
(1992)
The Analysis of Arithmetic for Mathematics Teaching
, pp. 373-429
-
-
Resnick, L.B.1
-
33
-
-
0002714678
-
Learning to understand arithmetic
-
R. Glaser (ed.), Erlbaum, Hillsdale, NJ
-
Resnick, L.B. and Omanson, S.F.: 1987, 'Learning to understand arithmetic', in R. Glaser (ed.), Advances in Instructional Psychology Vol. 3, Erlbaum, Hillsdale, NJ, pp. 41-95.
-
(1987)
Advances in Instructional Psychology Vol. 3
, pp. 41-95
-
-
Resnick, L.B.1
Omanson, S.F.2
-
34
-
-
0002493923
-
Learning: The microgenetic analysis of one student's evolving understanding of a complex subject matter domain
-
R. Glaser (ed.) Erlbaum, Hillsdale, NJ
-
Schoenfeld, A.H., Smith, J.P and Arcavi, A.: 1993, 'Learning: The microgenetic analysis of one student's evolving understanding of a complex subject matter domain', in R. Glaser (ed.), Advances in Instructional Psychology Vol. 4, Erlbaum, Hillsdale, NJ.
-
(1993)
Advances in Instructional Psychology Vol. 4
-
-
Schoenfeld, A.H.1
Smith, J.P.2
Arcavi, A.3
-
35
-
-
24944477378
-
The gains and pitfalls of reification - The case of algebra
-
Sfard, A. and Linchevski, L.: 1994, 'The gains and pitfalls of reification - The case of algebra', Educational Studies in Mathematics 26, 191-228.
-
(1994)
Educational Studies in Mathematics
, vol.26
, pp. 191-228
-
-
Sfard, A.1
Linchevski, L.2
-
36
-
-
0010078170
-
An alternate route to the reification of function
-
Slavit, D.: 1997a, 'An alternate route to the reification of function', Educational Studies in Mathematics 33(3), 259-281.
-
(1997)
Educational Studies in Mathematics
, vol.33
, Issue.3
, pp. 259-281
-
-
Slavit, D.1
-
37
-
-
54749120290
-
Learning as sense-making and property-noticing
-
J.A. Dossey, J.O. Swafford, M. Parmantie and A.E. Dossey (eds.), ERIC Clearinghouse, Columbus, OH
-
Slavit, D.: 1997b, 'Learning as sense-making and property-noticing', in J.A. Dossey, J.O. Swafford, M. Parmantie and A.E. Dossey (eds.), Proceedings of PME-NA XIX (Vol. 1), ERIC Clearinghouse, Columbus, OH, pp. 649-656.
-
(1997)
Proceedings of PME-NA XIX
, vol.1
, pp. 649-656
-
-
Slavit, D.1
-
39
-
-
0030305056
-
Symbolizing as a constructive activity in a computer microworld
-
Steffe, L.P. and Olive, J.: 1996, 'Symbolizing as a constructive activity in a computer microworld', Journal of Educational Computing Research 14(2), 113-138.
-
(1996)
Journal of Educational Computing Research
, vol.14
, Issue.2
, pp. 113-138
-
-
Steffe, L.P.1
Olive, J.2
-
40
-
-
0000364533
-
Notations, conventions, and constraints: Contributions to effective uses of concrete materials in elementary mathematics
-
Thompson, P.W.: 1992, 'Notations, conventions, and constraints: Contributions to effective uses of concrete materials in elementary mathematics', Journal for Research in Mathematics Education 23(2), 123-147.
-
(1992)
Journal for Research in Mathematics Education
, vol.23
, Issue.2
, pp. 123-147
-
-
Thompson, P.W.1
-
41
-
-
0010424734
-
Quantitative reasoning, complexity, and additive structures
-
Thompson, P.W.: 1993, 'Quantitative reasoning, complexity, and additive structures', Educational Studies in Mathematics 25(3), 165-208.
-
(1993)
Educational Studies in Mathematics
, vol.25
, Issue.3
, pp. 165-208
-
-
Thompson, P.W.1
-
42
-
-
0003130954
-
Students, functions, and the undergraduate curriculum
-
E. Dubinsky, A.H. Schoenfeld and J. Kaput (eds.), American Mathematical Society, Providence, RI, and Mathematical Association of America, Washington, D.C.
-
Thompson, P.W.: 1994, 'Students, functions, and the undergraduate curriculum', in E. Dubinsky, A.H. Schoenfeld and J. Kaput (eds.), Research in Collegiate Mathematics Education I, American Mathematical Society, Providence, RI, and Mathematical Association of America, Washington, D.C.
-
(1994)
Research in Collegiate Mathematics Education I
-
-
Thompson, P.W.1
-
44
-
-
85092073965
-
A classification of cognitive tasks and operations of thought involved in addition and subtraction problems
-
T.P. Carpenter, J.M. Moser and T.A. Romberg (eds.), Erlbaum, Hillsdale, NJ
-
Vergnaud, G.: 1982, A classification of cognitive tasks and operations of thought involved in addition and subtraction problems', in T.P. Carpenter, J.M. Moser and T.A. Romberg (eds.), Addition and Subtraction: A Cognitive Perspective, Erlbaum, Hillsdale, NJ, pp. 39-59.
-
(1982)
Addition and Subtraction: a Cognitive Perspective
, pp. 39-59
-
-
Vergnaud, G.1
-
45
-
-
0001328390
-
Multiplicative structures
-
J. Hiebert and M. Behr (eds.), Reston, NCTM
-
Vergnaud, G.: 1988, 'Multiplicative structures', in J. Hiebert and M. Behr (eds.), Number concepts and operations in the middle grades, Reston, NCTM, pp. 141-161.
-
(1988)
Number Concepts and Operations in the middle Grades
, pp. 141-161
-
-
Vergnaud, G.1
-
46
-
-
85068094137
-
Cognitive science and algebra learning
-
A.H. Schoenfeld (ed.), Erlbaum, Hillsdale, NJ
-
Wenger, R.H.: 1987, 'Cognitive science and algebra learning', in A.H. Schoenfeld (ed.), Cognitive Science and Mathematics Education, Erlbaum, Hillsdale, NJ, pp. 217-251.
-
(1987)
Cognitive Science and Mathematics Education
, pp. 217-251
-
-
Wenger, R.H.1
|