-
1
-
-
0003140571
-
Rational-number concepts
-
Academic Press, New York, R. Lesh, M. Landau (Eds.)
-
Behr M.J., Lesh R., Post T., Silver E.A. Rational-number concepts. Acquisition of mathematical concepts and processes 1983, 91-126. Academic Press, New York. R. Lesh, M. Landau (Eds.).
-
(1983)
Acquisition of mathematical concepts and processes
, pp. 91-126
-
-
Behr, M.J.1
Lesh, R.2
Post, T.3
Silver, E.A.4
-
2
-
-
84973587732
-
A coefficient of agreement for nominal scales
-
Cohen J. A coefficient of agreement for nominal scales. Educational and Psychological Measurement 1960, 20(1):37-46.
-
(1960)
Educational and Psychological Measurement
, vol.20
, Issue.1
, pp. 37-46
-
-
Cohen, J.1
-
3
-
-
53349155554
-
The transition from whole number to fraction
-
Paper presented at the International Study Group on the Rational Numbers of Arithmetic, University of Georgia, Athens, GA., (January).
-
Gray, E. M. (1993, January). The transition from whole number to fraction. Paper presented at the International Study Group on the Rational Numbers of Arithmetic, University of Georgia, Athens, GA.
-
(1993)
-
-
Gray, E.M.1
-
4
-
-
34247584100
-
Units coordination and the construction of improper fractions: A revision of the splitting hypothesis
-
Hackenberg A.J. Units coordination and the construction of improper fractions: A revision of the splitting hypothesis. Journal of Mathematical Behavior 2007, 26(1):27-47.
-
(2007)
Journal of Mathematical Behavior
, vol.26
, Issue.1
, pp. 27-47
-
-
Hackenberg, A.J.1
-
5
-
-
77958049086
-
Students' reversible multiplicative reasoning with fractions
-
Hackenberg A.J. Students' reversible multiplicative reasoning with fractions. Cognition and Instruction 2010, 28(4):383-432.
-
(2010)
Cognition and Instruction
, vol.28
, Issue.4
, pp. 383-432
-
-
Hackenberg, A.J.1
-
6
-
-
67349215710
-
Students' whole number multiplicative concepts: A critical constructive resource for fraction composition schemes
-
Hackenberg A.J., Tillema E.S. Students' whole number multiplicative concepts: A critical constructive resource for fraction composition schemes. Journal of Mathematical Behavior 2009, 28:1-18.
-
(2009)
Journal of Mathematical Behavior
, vol.28
, pp. 1-18
-
-
Hackenberg, A.J.1
Tillema, E.S.2
-
7
-
-
0008773680
-
The rational number construct-Its elements and mechanisms
-
ERIC/SMEAC, Columbus, T.E. Kieren (Ed.)
-
Kieren T.E. The rational number construct-Its elements and mechanisms. Recent research on number learning 1980, 125-149. ERIC/SMEAC, Columbus. T.E. Kieren (Ed.).
-
(1980)
Recent research on number learning
, pp. 125-149
-
-
Kieren, T.E.1
-
9
-
-
54949096914
-
Rational numbers and proportional reasoning: Towards a theoretical framework for research
-
NCTM, Reston, VA, F. Lester (Ed.)
-
Lamon S.J. Rational numbers and proportional reasoning: Towards a theoretical framework for research. Second handbook of research on mathematics teaching and learning 2007, 629-667. NCTM, Reston, VA. F. Lester (Ed.).
-
(2007)
Second handbook of research on mathematics teaching and learning
, pp. 629-667
-
-
Lamon, S.J.1
-
10
-
-
0017360990
-
The measurement of observer agreement for categorical data
-
Landis J.R., Koch G.G. The measurement of observer agreement for categorical data. Biometrics 1977, 33:159-174.
-
(1977)
Biometrics
, vol.33
, pp. 159-174
-
-
Landis, J.R.1
Koch, G.G.2
-
11
-
-
0035610065
-
Building on informal knowledge through instruction in a complex content domain: Partitioning, units, and understanding multiplication of fractions
-
Mack N.K. Building on informal knowledge through instruction in a complex content domain: Partitioning, units, and understanding multiplication of fractions. Journal for Research in Mathematics Education 2001, 32(3):267-296.
-
(2001)
Journal for Research in Mathematics Education
, vol.32
, Issue.3
, pp. 267-296
-
-
Mack, N.K.1
-
12
-
-
0041426444
-
From fractions to proportional reasoning: A cognitive schemes of operation approach
-
Nabors W. From fractions to proportional reasoning: A cognitive schemes of operation approach. Journal of Mathematical Behavior 2003, 22:133-179.
-
(2003)
Journal of Mathematical Behavior
, vol.22
, pp. 133-179
-
-
Nabors, W.1
-
13
-
-
47949122887
-
Josh's operational conjectures: Abductions of a splitting operation and the construction of new fractional schemes
-
Norton A. Josh's operational conjectures: Abductions of a splitting operation and the construction of new fractional schemes. Journal for Research in Mathematics Education 2008, 39(4):401-430.
-
(2008)
Journal for Research in Mathematics Education
, vol.39
, Issue.4
, pp. 401-430
-
-
Norton, A.1
-
14
-
-
70350189989
-
A quantitative analysis of children's splitting operations and fraction schemes
-
Norton A., Wilkins J.L.M. A quantitative analysis of children's splitting operations and fraction schemes. Journal of Mathematical Behavior 2009, 28(2/3):150-161.
-
(2009)
Journal of Mathematical Behavior
, vol.28
, Issue.2-3
, pp. 150-161
-
-
Norton, A.1
Wilkins, J.L.M.2
-
15
-
-
0001549062
-
From fractions to rational numbers of arithmetic: A reorganization hypothesis
-
Olive J. From fractions to rational numbers of arithmetic: A reorganization hypothesis. Mathematical Thinking and Learning 1999, 1(4):279-314.
-
(1999)
Mathematical Thinking and Learning
, vol.1
, Issue.4
, pp. 279-314
-
-
Olive, J.1
-
16
-
-
0035743092
-
The construction of an iterative fractional scheme: The case of Joe
-
Olive J., Steffe L.P. The construction of an iterative fractional scheme: The case of Joe. Journal of Mathematical Behavior 2002, 20(4):413-437.
-
(2002)
Journal of Mathematical Behavior
, vol.20
, Issue.4
, pp. 413-437
-
-
Olive, J.1
Steffe, L.P.2
-
17
-
-
32044451344
-
Making sense of instruction on fractions when a student lacks necessary fractional schemes: The case of Tim
-
Olive J., Vomvoridi E. Making sense of instruction on fractions when a student lacks necessary fractional schemes: The case of Tim. Journal of Mathematical Behavior 2006, 25(1):18-45.
-
(2006)
Journal of Mathematical Behavior
, vol.25
, Issue.1
, pp. 18-45
-
-
Olive, J.1
Vomvoridi, E.2
-
18
-
-
78650965567
-
The psychology of intelligence (M. Piercy & D. E. Berlyne, Trans.). London: Routledge (Original work published 1947)
-
Piaget, J. (2001). The psychology of intelligence (M. Piercy & D. E. Berlyne, Trans.). London: Routledge (Original work published 1947).
-
(2001)
-
-
Piaget, J.1
-
20
-
-
0039153310
-
A review of recent research in the area of initial fraction concepts
-
Pitkethly A., Hunting R. A review of recent research in the area of initial fraction concepts. Educational Studies of Mathematics 1996, 30(1):5-38.
-
(1996)
Educational Studies of Mathematics
, vol.30
, Issue.1
, pp. 5-38
-
-
Pitkethly, A.1
Hunting, R.2
-
22
-
-
0035729603
-
A new hypothesis concerning children's fractional knowledge
-
Steffe L.P. A new hypothesis concerning children's fractional knowledge. Journal of Mathematical Behavior 2002, 20(3):267-307.
-
(2002)
Journal of Mathematical Behavior
, vol.20
, Issue.3
, pp. 267-307
-
-
Steffe, L.P.1
-
23
-
-
0042881175
-
Fractional commensurate, composition, and adding schemes learning trajectories of Jason and Laura: Grade 5
-
Steffe L.P. Fractional commensurate, composition, and adding schemes learning trajectories of Jason and Laura: Grade 5. Journal of Mathematical Behavior 2003, 22(3):237-295.
-
(2003)
Journal of Mathematical Behavior
, vol.22
, Issue.3
, pp. 237-295
-
-
Steffe, L.P.1
-
24
-
-
34247566085
-
On the construction of learning trajectories of children: The case of commensurate fractions
-
Steffe L.P On the construction of learning trajectories of children: The case of commensurate fractions. Mathematical Thinking Learning 2004, 6(2):129-162.
-
(2004)
Mathematical Thinking Learning
, vol.6
, Issue.2
, pp. 129-162
-
-
Steffe, L.P.1
-
25
-
-
78650940017
-
The partitioning and fraction schemes
-
Springer, New York, L.P. Steffe, J. Olive (Eds.)
-
Steffe L.P. The partitioning and fraction schemes. Children's fractional knowledge 2010, 315-340. Springer, New York. L.P. Steffe, J. Olive (Eds.).
-
(2010)
Children's fractional knowledge
, pp. 315-340
-
-
Steffe, L.P.1
-
26
-
-
84891426172
-
-
Springer, New York, L.P. Steffe, J. Olive (Eds.)
-
Children's fractional knowledge 2010, Springer, New York. L.P. Steffe, J. Olive (Eds.).
-
(2010)
Children's fractional knowledge
-
-
-
27
-
-
0002182058
-
Teaching experiment methodology: Underlying principles and essential elements
-
Lawrence Erlbaum Associates, Mahwah, NJ, A.E. Kelly, R.A. Lesh (Eds.)
-
Steffe L.P., Thompson P. Teaching experiment methodology: Underlying principles and essential elements. Handbook of research design in mathematics and science education 2000, 267-306. Lawrence Erlbaum Associates, Mahwah, NJ. A.E. Kelly, R.A. Lesh (Eds.).
-
(2000)
Handbook of research design in mathematics and science education
, pp. 267-306
-
-
Steffe, L.P.1
Thompson, P.2
-
29
-
-
8644246924
-
Fractions and multiplicative reasoning
-
National Council of Teachers of Mathematics, Reston, VA, J. Kilpatrick, W.G. Martin, D. Schifter (Eds.)
-
Thompson P.W., Saldanha L.A. Fractions and multiplicative reasoning. Research companion to the principles and standards for school mathematics 2003, 95-113. National Council of Teachers of Mathematics, Reston, VA. J. Kilpatrick, W.G. Martin, D. Schifter (Eds.).
-
(2003)
Research companion to the principles and standards for school mathematics
, pp. 95-113
-
-
Thompson, P.W.1
Saldanha, L.A.2
-
30
-
-
22644452255
-
An integrated study of children's construction of improper fractions and the teacher's role in promoting that learning
-
Tzur R. 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 1999, 30(4):390-416.
-
(1999)
Journal for Research in Mathematics Education
, vol.30
, Issue.4
, pp. 390-416
-
-
Tzur, R.1
-
31
-
-
34548473346
-
Fine grain assessment of students' mathematical understanding: Participatory and anticipatory stages in learning a new mathematical conception
-
Tzur R. Fine grain assessment of students' mathematical understanding: Participatory and anticipatory stages in learning a new mathematical conception. Educational studies in mathematics 2007, 66:273-291.
-
(2007)
Educational studies in mathematics
, vol.66
, pp. 273-291
-
-
Tzur, R.1
-
33
-
-
78650926525
-
The splitting loop. Submitted for publication
-
Wilkins, J. L. M., & Norton, A. (2010). The splitting loop. Submitted for publication.
-
(2010)
-
-
Wilkins, J.L.M.1
Norton, A.2
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