-
1
-
-
0001857784
-
Rational numbers: Toward a semantic analysis-emphasis on the operator construct
-
T.P. Carpenter, F. Fennema and T.A. Romberg (eds.), Erlbaum, Hillsdale, NJ
-
Behr, M.J., Harel, G., Post, T. and Lesh, R.: 1993, 'Rational numbers: Toward a semantic analysis-emphasis on the operator construct', in T.P. Carpenter, F. Fennema and T.A. Romberg (eds.), Rational Numbers: An Integration of Research, Erlbaum, Hillsdale, NJ, pp. 13-47.
-
(1993)
Rational Numbers: An Integration of Research
, pp. 13-47
-
-
Behr, M.J.1
Harel, G.2
Post, T.3
Lesh, R.4
-
2
-
-
0000606965
-
Order and equivalence of rational numbers: A clinical teaching experiment
-
Behr, M.J., Wachsmuth, I., Post, T.R. and Lesh, R.: 1984, 'Order and equivalence of rational numbers: A clinical teaching experiment', Journal for Research in Mathematics Education 15, 323-341.
-
(1984)
Journal for Research in Mathematics Education
, vol.15
, pp. 323-341
-
-
Behr, M.J.1
Wachsmuth, I.2
Post, T.R.3
Lesh, R.4
-
4
-
-
22844454329
-
Cross-national comparison of representational competence
-
Brenner, M.E., Herman, S., Ho, H.-Z. and Zimmer, J.M.: 1999, 'Cross-national comparison of representational competence', Journal for Research in Mathematics Education 30, 541-557.
-
(1999)
Journal for Research in Mathematics Education
, vol.30
, pp. 541-557
-
-
Brenner, M.E.1
Herman, S.2
Ho, H.-Z.3
Zimmer, J.M.4
-
5
-
-
27544456644
-
Lines of thought: A ratio and operator model of rational numbers
-
Carraher, D.: 1993, 'Lines of thought: A ratio and operator model of rational numbers', Educational Studies in Mathematics 25, 281-305.
-
(1993)
Educational Studies in Mathematics
, vol.25
, pp. 281-305
-
-
Carraher, D.1
-
6
-
-
0001772347
-
Learning about fractions
-
L.P. Steffe, P. Nesher, P. Cobb, G.A. Goldin and B. Greer (eds.), Erlbaum, Mahwah, NJ
-
Carraher, D.: 1996, 'Learning about fractions', in L.P. Steffe, P. Nesher, P. Cobb, G.A. Goldin and B. Greer (eds.), Theories of Mathematical Learning, Erlbaum, Mahwah, NJ, pp. 241-266.
-
(1996)
Theories of Mathematical Learning
, pp. 241-266
-
-
Carraher, D.1
-
7
-
-
0004141421
-
-
Erlbaum Mahwah, NJ
-
Chi, M.T.H., Glaser, R. and Farr, M.J. (eds.): 1988. The Nature of Expertise, Erlbaum Mahwah, NJ.
-
(1988)
The Nature of Expertise
-
-
Chi, M.T.H.1
Glaser, R.2
Farr, M.J.3
-
8
-
-
70349602720
-
Where is the Mind? Constructivist and sociocultural perspectives on mathematical development
-
Cobb, P.: 1994, 'Where is the Mind? Constructivist and sociocultural perspectives on mathematical development', Educational Researcher 23(7), 13-20.
-
(1994)
Educational Researcher
, vol.23
, Issue.7
, pp. 13-20
-
-
Cobb, P.1
-
9
-
-
0040226895
-
Mathematics as meaningful activity: The reality of teaching for understanding
-
R.B. Davis and C.A. Maher (eds.), Allyn and Bacon, Boston, MA
-
Cobb, P., Wood, T., Yackel, E. and McNeal, E.: 1993, 'Mathematics as meaningful activity: The reality of teaching for understanding', in R.B. Davis and C.A. Maher (eds.), Schools, Mathematics, and the World of Reality, Allyn and Bacon, Boston, MA, pp. 119-134.
-
(1993)
Schools, Mathematics, and the World of Reality
, pp. 119-134
-
-
Cobb, P.1
Wood, T.2
Yackel, E.3
McNeal, E.4
-
10
-
-
0009644368
-
Splitting reexamined: Results from a three year longitudinal study of children in grades three to five
-
Paper Presented, Columbus, OH, October
-
Confrey, J. and Scarano, G.H.: 1995, 'Splitting reexamined: Results from a three year longitudinal study of children in grades three to five', Paper Presented at the Seventeenth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Columbus, OH, October.
-
(1995)
Seventeenth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education
-
-
Confrey, J.1
Scarano, G.H.2
-
11
-
-
27544435670
-
The effect of nonnormality on student's two-sample T test
-
Paper Presented, New Orleans, LA, April
-
Delaney, H.D. and Vargha, A.: 2000, 'The effect of nonnormality on student's two-sample T test', Paper Presented at the Annual Meeting of the American Educational Research Association, New Orleans, LA, April.
-
(2000)
Annual Meeting of the American Educational Research Association
-
-
Delaney, H.D.1
Vargha, A.2
-
13
-
-
0009977188
-
Epistemology, constructivism, and discovery learning of mathematics
-
R.B. Davis, C.A. Maher and N. Noddings (eds.), NCTM, Reston, VA
-
Goldin, G.A.: 1990, 'Epistemology, constructivism, and discovery learning of mathematics', in R.B. Davis, C.A. Maher and N. Noddings (eds.), Constructivist Views on the Teaching and Learning of Mathematics, NCTM, Reston, VA, pp. 31-47.
-
(1990)
Constructivist Views on the Teaching and Learning of Mathematics
, pp. 31-47
-
-
Goldin, G.A.1
-
14
-
-
0041528485
-
Allowing for student cognitive levels in the teaching of fractions and ratios
-
Harrison, B., Brindley, S. and Bye, M.P.: 1989, 'Allowing for student cognitive levels in the teaching of fractions and ratios', Journal for Research in Mathematics Education 20, 288-300.
-
(1989)
Journal for Research in Mathematics Education
, vol.20
, pp. 288-300
-
-
Harrison, B.1
Brindley, S.2
Bye, M.P.3
-
16
-
-
13844256098
-
Strategies and errors in secondary mathematics
-
Hart, K.M.: 1987, 'Strategies and errors in secondary mathematics', Mathematics in School 16(2), 14-17.
-
(1987)
Mathematics in School
, vol.16
, Issue.2
, pp. 14-17
-
-
Hart, K.M.1
-
17
-
-
0002351467
-
Missing-value proportional reasoning problems: Factors affecting informal reasoning patterns
-
G. Harel (ed.), SUNY Press, Albany, NY
-
Kaput, J.J. and West, M.M.: 1994, 'Missing-value proportional reasoning problems: Factors affecting informal reasoning patterns', in G. Harel (ed.), The Development of Multiplicative Reasoning in the Learning of Mathematics, SUNY Press, Albany, NY, pp. 235-287.
-
(1994)
The Development of Multiplicative Reasoning in the Learning of Mathematics
, pp. 235-287
-
-
Kaput, J.J.1
West, M.M.2
-
19
-
-
0345789366
-
The language of fractions
-
K. Durkin and S. Beatrice (eds.). Open University Press, Bristol, PA
-
Kerslake, D.: 1991, 'The language of fractions', in K. Durkin and S. Beatrice (eds.), Language in Mathematical Education: Research and Practice. Open University Press, Bristol, PA, pp. 85-94.
-
(1991)
Language in Mathematical Education: Research and Practice
, pp. 85-94
-
-
Kerslake, D.1
-
20
-
-
0002439843
-
On the mathematical, cognitive, and instructional foundations of rational numbers
-
R.A. Lesh (ed.). ERIC/SMEAC, Columbus, OH
-
Kieren, T.E.: 1976, 'On the mathematical, cognitive, and instructional foundations of rational numbers', in R.A. Lesh (ed.), Number and Measurement: Papers from a Research Workshop. ERIC/SMEAC, Columbus, OH, pp. 101-144.
-
(1976)
Number and Measurement: Papers from A Research Workshop
, pp. 101-144
-
-
Kieren, T.E.1
-
21
-
-
0008773680
-
The rational number construct: Its elements and mechanisms
-
T.E. Kieren (ed.), ERIC/SMEAC, Columbus, OH
-
Kieren, T.E.: 1980, 'The rational number construct: Its elements and mechanisms', in T.E. Kieren (ed.), Recent Research on Number Learning, ERIC/SMEAC, Columbus, OH, pp. 32-55.
-
(1980)
Recent Research on Number Learning
, pp. 32-55
-
-
Kieren, T.E.1
-
22
-
-
0010858776
-
Rational and fractional numbers as mathematical and personal knowledge: Implications for curriculum and instruction
-
G. Leinhardt, R. Putnam and R.A. Hattrup (eds.), Erlbaum, Hillsdale, NJ
-
Kieren, T.E.: 1992, 'Rational and fractional numbers as mathematical and personal knowledge: Implications for curriculum and instruction', in G. Leinhardt, R. Putnam and R.A. Hattrup (eds.), Analysis of Arithmetic for Mathematics Teaching, Erlbaum, Hillsdale, NJ, pp. 323-371.
-
(1992)
Analysis of Arithmetic for Mathematics Teaching
, pp. 323-371
-
-
Kieren, T.E.1
-
23
-
-
0002358189
-
Rational and fractional number: From quotient fields to recursive understanding
-
T.P. Carpenter, E. Fennema and T.A. Romberg (eds.), Erlbaum, Hillsdale, NJ
-
Kieren, T.E.: 1993, 'Rational and fractional number: From quotient fields to recursive understanding', in T.P. Carpenter, E. Fennema and T.A. Romberg (eds.), Rational Numbers: An Integration of Research, Erlbaum, Hillsdale, NJ, pp. 261-288.
-
(1993)
Rational Numbers: An Integration of Research
, pp. 261-288
-
-
Kieren, T.E.1
-
25
-
-
0002509359
-
Ratio and proportion: Children's cognitive and metacognitive processes
-
T.P. Carpenter, E. Fennema, and T.A. Romberg (eds.), Erlhaum, Hillsdale, NJ
-
Lamon, S.J.: 1993a, 'Ratio and proportion: Children's cognitive and metacognitive processes', in T.P. Carpenter, E. Fennema, and T.A. Romberg (eds.), Rational Numbers: An Integration of Research, Erlhaum, Hillsdale, NJ, pp. 131-156.
-
(1993)
Rational Numbers: An Integration of Research
, pp. 131-156
-
-
Lamon, S.J.1
-
26
-
-
21144481353
-
Ratio and proportion: Connecting content and children's thinking
-
Lamon, S.J.: 1993b, 'Ratio and proportion: Connecting content and children's thinking', Journal for Research in Mathematics Education 24, 41-61.
-
(1993)
Journal for Research in Mathematics Education
, vol.24
, pp. 41-61
-
-
Lamon, S.J.1
-
27
-
-
21744455077
-
Developing ratio and proportion schemes: A story of a fifth grader
-
Lo, J.-J. and Watanabe, T.: 1997, 'Developing ratio and proportion schemes: A story of a fifth grader', Journal for Research in Mathematics Education 28, 216-236.
-
(1997)
Journal for Research in Mathematics Education
, vol.28
, pp. 216-236
-
-
Lo, J.-J.1
Watanabe, T.2
-
29
-
-
84911288280
-
Learning fractions with understanding: Building upon informal knowledge
-
Proceedings of the Paper Presented, New Orleans, EA
-
Mack, N.K.: 1988, 'Learning fractions with understanding: Building upon informal knowledge', in Proceedings of the Paper Presented at the Annual Meeting of the American Educational Research Association, New Orleans, EA.
-
(1988)
Annual Meeting of the American Educational Research Association
-
-
Mack, N.K.1
-
30
-
-
0002755031
-
Learning fractions with understanding: Building on informal knowledge
-
Mack, N.K.: 1990, 'Learning fractions with understanding: Building on informal knowledge', Journal for Research in Mathematics Education 21, 16-32.
-
(1990)
Journal for Research in Mathematics Education
, vol.21
, pp. 16-32
-
-
Mack, N.K.1
-
31
-
-
0002147322
-
Learning rational numbers with understanding: The case of informal knowledge
-
T.P. Carpenter, E. Fennema and T.A. Romberg (eds.), Erlbaum, Hillsdale, NJ
-
Mack, N.K.: 1993, 'Learning rational numbers with understanding: The case of informal knowledge', in T.P. Carpenter, E. Fennema and T.A. Romberg (eds.), Rational Numbers: An Integration of Research, Erlbaum, Hillsdale, NJ. pp. 85-106.
-
(1993)
Rational Numbers: An Integration of Research
, pp. 85-106
-
-
Mack, N.K.1
-
32
-
-
21844526317
-
Confounding whole-number and fraction concepts when building on informal knowledge
-
Mack, N.K.: 1995, 'Confounding whole-number and fraction concepts when building on informal knowledge', Journal for Research in Mathematics Education 26, 422-441.
-
(1995)
Journal for Research in Mathematics Education
, vol.26
, pp. 422-441
-
-
Mack, N.K.1
-
33
-
-
27544486515
-
Assessment of rational number understanding: A schema-based approach
-
T.P. Carpenter, E. Fennema and T.A. Romberg (eds.), Erlbaum, Hillsdale, NJ
-
Marshall, S.P.: 1993, 'Assessment of rational number understanding: A schema-based approach', in T.P. Carpenter, E. Fennema and T.A. Romberg (eds.), Rational Numbers: An Integration of Research, Erlbaum, Hillsdale, NJ, pp. 261-288.
-
(1993)
Rational Numbers: An Integration of Research
, pp. 261-288
-
-
Marshall, S.P.1
-
34
-
-
0043191587
-
-
Literacies Institute, Special Monograph Series No. 1, Educational Development Center, Inc., Newton, MA
-
Minick, N.: 1989, L.S. Vygotsky and Soviet Activity Theory: Perspectives on the Relationship Between Mind and Society, Literacies Institute, Special Monograph Series No. 1, Educational Development Center, Inc., Newton, MA.
-
(1989)
L.S. Vygotsky and Soviet Activity Theory: Perspectives on the Relationship between Mind and Society
-
-
Minick, N.1
-
35
-
-
22444453037
-
Developing children's understanding of the rational numbers: A new model and experimental curriculum
-
Moss, J. and Case, R.: 1999, 'Developing children's understanding of the rational numbers: A new model and experimental curriculum', Journal for Research in Mathematics Education 30, 122-147.
-
(1999)
Journal for Research in Mathematics Education
, vol.30
, pp. 122-147
-
-
Moss, J.1
Case, R.2
-
36
-
-
27544451057
-
Comparing single and multiple rational number conceptions: What influence do part-whole and ratio perspectives impart on constructed knowledge of the rational number domain?
-
April, Paper Presented, New Orleans, LA
-
Moseley, B.: 2002, April, 'Comparing single and multiple rational number conceptions: What influence do part-whole and ratio perspectives impart on constructed knowledge of the rational number domain?', Paper Presented at the Annual Meeting of the American Educational Research Association, New Orleans, LA.
-
(2002)
Annual Meeting of the American Educational Research Association
-
-
Moseley, B.1
-
37
-
-
0003500687
-
-
Boston College, Boston, MA
-
Mullis, I.V.S., Martin, M.O., Beaton, A.E., Gonzalez, E.J., Kelley, D.E. and Smith, T.A.: 1997. Mathematics Achievement in the Primary School Years: IEA's Third International Mathematics and Science Study (TIMSS), Boston College, Boston, MA.
-
(1997)
Mathematics Achievement in the Primary School Years: IEA's Third International Mathematics and Science Study (TIMSS)
-
-
Mullis, I.V.S.1
Martin, M.O.2
Beaton, A.E.3
Gonzalez, E.J.4
Kelley, D.E.5
Smith, T.A.6
-
38
-
-
0003921767
-
-
Cambridge University Press, New York
-
Núñes, T., Schliemann, A.D. and Carraher, D.W.: 1993, Street Mathematics and School Mathematics, Cambridge University Press, New York.
-
(1993)
Street Mathematics and School Mathematics
-
-
Núñes, T.1
Schliemann, A.D.2
Carraher, D.W.3
-
39
-
-
27544509317
-
-
Technical Report No. KUL-87-01. University of Pittsburgh, Learning Research and Development Center, Pittsburgh, Pennsylvania
-
Ohlsson, S.: 1987, A Semantics for Fraction Concepts, Technical Report No. KUL-87-01. University of Pittsburgh, Learning Research and Development Center, Pittsburgh, Pennsylvania.
-
(1987)
A Semantics for Fraction Concepts
-
-
Ohlsson, S.1
-
40
-
-
0040448829
-
Mathematical meaning and applicational meaning in the semantics of fractions and related concepts
-
J. Hiebert and M. Behr (eds.), National Council of Teachers of Mathematics Reston, VA
-
Ohlsson, S.: 1988, 'Mathematical meaning and applicational meaning in the semantics of fractions and related concepts', in J. Hiebert and M. Behr (eds.), Number Concepts and Operations in the Middle Grades, National Council of Teachers of Mathematics Reston, VA, pp. 53-92.
-
(1988)
Number Concepts and Operations in the Middle Grades
, pp. 53-92
-
-
Ohlsson, S.1
-
41
-
-
84973810320
-
The good, the bad, and the ugly: The many faces of constructivism
-
Phillips, D.C.: 1995, 'The good, the bad, and the ugly: The many faces of constructivism', Educational Researcher 24(7). 5-12.
-
(1995)
Educational Researcher
, vol.24
, Issue.7
, pp. 5-12
-
-
Phillips, D.C.1
-
42
-
-
0003155810
-
Curriculum implications on the learning, teaching and assessing of rational number concepts
-
T.P. Carpenter, E. Fennema and T.A. Romberg (eds.), Erlbaum, Hillsdale, NJ
-
Post, T.R., Cramer, K.A., Behr, M., Lesh, R. and Harel, G.: 1993, 'Curriculum implications on the learning, teaching and assessing of rational number concepts', in T.P. Carpenter, E. Fennema and T.A. Romberg (eds.), Rational Numbers: An Integration of Research, Erlbaum, Hillsdale, NJ, pp. 327-362.
-
(1993)
Rational Numbers: An Integration of Research
, pp. 327-362
-
-
Post, T.R.1
Cramer, K.A.2
Behr, M.3
Lesh, R.4
Harel, G.5
-
43
-
-
1042263295
-
Teaching students to recognize structural similarities between statistics word problems
-
Quilici, J.L. and Mayer, R.E.: 2002, 'Teaching students to recognize structural similarities between statistics word problems', Applied Cognitive Psychology 16, 325-342.
-
(2002)
Applied Cognitive Psychology
, vol.16
, pp. 325-342
-
-
Quilici, J.L.1
Mayer, R.E.2
-
44
-
-
27544453945
-
A preliminary report on the reliability and factorial validity of the rational number thinking test in the Republic of Trinidad and Tobago
-
October, Paper Presented, Dekalb, IL
-
Rahim, M.H. and Kieren, T.E.: 1988, October, 'A preliminary report on the reliability and factorial validity of the rational number thinking test in the Republic of Trinidad and Tobago', Paper Presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Dekalb, IL.
-
(1988)
Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education
-
-
Rahim, M.H.1
Kieren, T.E.2
-
46
-
-
0001535543
-
Problem perception and knowledge structure in expert and novice mathematical problem solvers
-
Schoenfeld, A.H. and Herrman, D.J.: 1982, 'Problem perception and knowledge structure in expert and novice mathematical problem solvers', Journal of Experimental Psychology: Learning, Memory, and Cognition 8, 484-494.
-
(1982)
Journal of Experimental Psychology: Learning, Memory, and Cognition
, vol.8
, pp. 484-494
-
-
Schoenfeld, A.H.1
Herrman, D.J.2
-
47
-
-
0011055627
-
Representations of proportional relationships: Are children part-part or part-whole reasoners?
-
Singer, J.A. and Resnick, L.B.: 1992, 'Representations of proportional relationships: Are children part-part or part-whole reasoners?', Educational Studies in Mathematics 23, 231-246.
-
(1992)
Educational Studies in Mathematics
, vol.23
, pp. 231-246
-
-
Singer, J.A.1
Resnick, L.B.2
-
48
-
-
0003114978
-
Competent reasoning with rational numbers
-
Smith, J.P.: 1995, 'Competent reasoning with rational numbers', Cognition and Instruction 13, 3-50.
-
(1995)
Cognition and Instruction
, vol.13
, pp. 3-50
-
-
Smith, J.P.1
-
49
-
-
0031514345
-
Proportional reasoning in young children: The parts and the whole of it
-
Sophian, C. and Wood, A.: 1997, 'Proportional reasoning in young children: The parts and the whole of it', Journal of Educational Psychology 89, 309-317.
-
(1997)
Journal of Educational Psychology
, vol.89
, pp. 309-317
-
-
Sophian, C.1
Wood, A.2
-
50
-
-
24944518745
-
An analysis of Japanese and American textbooks in mathematics
-
Washington, DC (clearing house no. SO017450)
-
Stevenson, H.: 1985, 'An analysis of Japanese and American textbooks in mathematics', in Office of Educational Research and Improvement (ed.), Washington, DC (clearing house no. SO017450).
-
(1985)
Office of Educational Research and Improvement (Ed.)
-
-
Stevenson, H.1
-
53
-
-
29844450599
-
Different cognitive obstacles in a technological paradigm or a reaction to cognitive obstacles encountered in the learning of algebra
-
S.E. Wagner and C.E. Kieran (eds.), Research Agenda for Mathematics Education, NCTM, Reston, VA
-
Tall, D.: 1989, 'Different cognitive obstacles in a technological paradigm or a reaction to cognitive obstacles encountered in the learning of algebra', in S.E. Wagner and C.E. Kieran (eds.), Research Issues in the Learning and Teaching of Algebra, Vol. 4, Research Agenda for Mathematics Education, NCTM, Reston, VA.
-
(1989)
Research Issues in the Learning and Teaching of Algebra
, vol.4
-
-
Tall, D.1
-
54
-
-
0033074792
-
An integrated research on children's construction of meaningful symbolic, partitioning-related conceptions, and teacher's role in fostering that learning
-
Tzur, R.: 2000, 'An integrated research on children's construction of meaningful symbolic, partitioning-related conceptions, and teacher's role in fostering that learning', Journal of Mathematical Behavior 18(2), 123-147.
-
(2000)
Journal of Mathematical Behavior
, vol.18
, Issue.2
, pp. 123-147
-
-
Tzur, R.1
-
55
-
-
0000857123
-
Multiplicative structures
-
R. Lesh and M. Landau (eds.) Academic Press, New York
-
Vergnaud, G.: 1983, 'Multiplicative structures', in R. Lesh and M. Landau (eds.), Acquisition of Mathematics Concepts and Processes, Academic Press, New York, pp. 92-126.
-
(1983)
Acquisition of Mathematics Concepts and Processes
, pp. 92-126
-
-
Vergnaud, G.1
|