-
1
-
-
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. A longitudinal examination of middle school students' understanding of the equal sign and equivalent equations. Mathematical Thinking and Learning 2007, 9(3):221-247.
-
(2007)
Mathematical Thinking and Learning
, vol.9
, Issue.3
, pp. 221-247
-
-
Alibali, M.W.1
Knuth, E.J.2
Hattikudur, S.3
McNeil, N.M.4
Stephens, A.C.5
-
2
-
-
77951238231
-
Middle school mathematics teachers' knowledge of students' understanding of core algebraic concepts: Equal sign and variable
-
Asquith P., Stephens A., Knuth E., Alibali M. Middle school mathematics teachers' knowledge of students' understanding of core algebraic concepts: Equal sign and variable. Mathematical Thinking and Learning 2007, 9(3):249-272.
-
(2007)
Mathematical Thinking and Learning
, vol.9
, Issue.3
, pp. 249-272
-
-
Asquith, P.1
Stephens, A.2
Knuth, E.3
Alibali, M.4
-
3
-
-
85144339128
-
Classroom stories: Examples of elementary students engaged in early algebra
-
Lawrence Erlbaum, New York, J.J. Kaput, D.W. Carraher, M.L. Blanton (Eds.)
-
Bastable V., Schifter D. Classroom stories: Examples of elementary students engaged in early algebra. Algebra in the early grades 2008, 165-184. Lawrence Erlbaum, New York. J.J. Kaput, D.W. Carraher, M.L. Blanton (Eds.).
-
(2008)
Algebra in the early grades
, pp. 165-184
-
-
Bastable, V.1
Schifter, D.2
-
5
-
-
84861499733
-
-
The National Council of Teachers of Mathematics, Reston, VA
-
Blanton M.L., Levi L., Crites T., Dougherty B.J. Developing essential understandings of algebraic thinking, Grades 3-5 2011, The National Council of Teachers of Mathematics, Reston, VA.
-
(2011)
Developing essential understandings of algebraic thinking, Grades 3-5
-
-
Blanton, M.L.1
Levi, L.2
Crites, T.3
Dougherty, B.J.4
-
6
-
-
85132204085
-
Multiple notational systems and algebraic understandings: The case of the "best deal" problem
-
Lawrence Erlbaum, New York, J.J. Kaput, D.W. Carraher, M. Blanton (Eds.)
-
Brizuela B.M., Earnest D. Multiple notational systems and algebraic understandings: The case of the "best deal" problem. Algebra in the early grades 2008, 273-301. Lawrence Erlbaum, New York. J.J. Kaput, D.W. Carraher, M. Blanton (Eds.).
-
(2008)
Algebra in the early grades
, pp. 273-301
-
-
Brizuela, B.M.1
Earnest, D.2
-
7
-
-
0002926797
-
Cognitively guided instruction: A knowledge base for reform in primary mathematics education
-
Carpenter T.P., Fennema E., Franke M.L. Cognitively guided instruction: A knowledge base for reform in primary mathematics education. Elementary School Journal 1996, 97(1):3-20.
-
(1996)
Elementary School Journal
, vol.97
, Issue.1
, pp. 3-20
-
-
Carpenter, T.P.1
Fennema, E.2
Franke, M.L.3
-
8
-
-
0010733340
-
-
Heinemann, Portsmouth, NH
-
Carpenter T.P., Fennema E., Franke M.L., Levi L., Empson S.B. Children's mathematics: Cognitively guided instruction 1999, Heinemann, Portsmouth, NH.
-
(1999)
Children's mathematics: Cognitively guided instruction
-
-
Carpenter, T.P.1
Fennema, E.2
Franke, M.L.3
Levi, L.4
Empson, S.B.5
-
9
-
-
3543040324
-
-
Heinemann, Portsmouth, NH
-
Carpenter T.P., Franke M.L., Levi L. Thinking mathematically: Integrating arithmetic and algebra in the elementary school 2003, Heinemann, Portsmouth, NH.
-
(2003)
Thinking mathematically: Integrating arithmetic and algebra in the elementary school
-
-
Carpenter, T.P.1
Franke, M.L.2
Levi, L.3
-
10
-
-
33645157476
-
Arithmetic and algebra in early mathematics education
-
Carraher D.W., Schliemann A.D., Brizuela B.M., Earnest D. Arithmetic and algebra in early mathematics education. Journal for Research in Mathematics Education 2006, 37(2):87-115.
-
(2006)
Journal for Research in Mathematics Education
, vol.37
, Issue.2
, pp. 87-115
-
-
Carraher, D.W.1
Schliemann, A.D.2
Brizuela, B.M.3
Earnest, D.4
-
14
-
-
0010063405
-
-
Heinemann, Portsmouth, NH
-
Hiebert J., Carpenter T.P., Fennema E., Fuson K., Wearne D., Murray H., et al. Making sense: Teaching and learning mathematics with understanding 1997, Heinemann, Portsmouth, NH.
-
(1997)
Making sense: Teaching and learning mathematics with understanding
-
-
Hiebert, J.1
Carpenter, T.P.2
Fennema, E.3
Fuson, K.4
Wearne, D.5
Murray, H.6
-
15
-
-
84875233275
-
-
Wright Group/McGraw Hill, Guilford, CT
-
Iron C. Growing with mathematics 2003, Wright Group/McGraw Hill, Guilford, CT.
-
(2003)
Growing with mathematics
-
-
Iron, C.1
-
16
-
-
34248566999
-
Professional development focused on children's algebraic reasoning in elementary school
-
Jacobs V.R., Franke M.L., Carpenter T.P., Levi L., Battey D. Professional development focused on children's algebraic reasoning in elementary school. Journal for Research in Mathematics Education 2007, 38(3):258-288.
-
(2007)
Journal for Research in Mathematics Education
, vol.38
, Issue.3
, pp. 258-288
-
-
Jacobs, V.R.1
Franke, M.L.2
Carpenter, T.P.3
Levi, L.4
Battey, D.5
-
17
-
-
27744488361
-
Transforming algebra from an engine of inequity to an engine of mathematical power by "algebrafying" the K-12 curriculum
-
National Research Council, National Academy Press, Washington, DC, S. Fennel (Ed.)
-
Kaput J.J. Transforming algebra from an engine of inequity to an engine of mathematical power by "algebrafying" the K-12 curriculum. The nature and role of algebra in the K-14 curriculum: Proceedings of a national symposium 1998, 25-26. National Research Council, National Academy Press, Washington, DC. S. Fennel (Ed.).
-
(1998)
The nature and role of algebra in the K-14 curriculum: Proceedings of a national symposium
, pp. 25-26
-
-
Kaput, J.J.1
-
18
-
-
0343376045
-
Teaching and learning a new algebra
-
Lawrence Erlbaum, Mahwah, NJ, E. Fennema, T.A. Romberg (Eds.)
-
Kaput J.J. Teaching and learning a new algebra. Mathematics classrooms that promote understanding 1999, 133-155. Lawrence Erlbaum, Mahwah, NJ. E. Fennema, T.A. Romberg (Eds.).
-
(1999)
Mathematics classrooms that promote understanding
, pp. 133-155
-
-
Kaput, J.J.1
-
19
-
-
0001071316
-
Concepts associated with the equality symbol
-
Kieran C. Concepts associated with the equality symbol. Educational Studies in Mathematics 1981, 12(3):317-326.
-
(1981)
Educational Studies in Mathematics
, vol.12
, Issue.3
, pp. 317-326
-
-
Kieran, C.1
-
20
-
-
54949117504
-
Learning and teaching algebra at the middle school through college levels
-
Information Age, Charlotte, NC, F.K. Lester (Ed.)
-
Kieran C. Learning and teaching algebra at the middle school through college levels. Second handbook of research on mathematics teaching and learning 2007, 707-762. Information Age, Charlotte, NC. F.K. Lester (Ed.).
-
(2007)
Second handbook of research on mathematics teaching and learning
, pp. 707-762
-
-
Kieran, C.1
-
21
-
-
77952990101
-
Equal sign understanding in the middle grades
-
Knuth E.J., Alibali M.W., Hattikudur S., McNeil N.M., Stephens A.C. Equal sign understanding in the middle grades. Mathematics Teaching in the Middle School 2008, 13(9):514-519.
-
(2008)
Mathematics Teaching in the Middle School
, vol.13
, Issue.9
, pp. 514-519
-
-
Knuth, E.J.1
Alibali, M.W.2
Hattikudur, S.3
McNeil, N.M.4
Stephens, A.C.5
-
22
-
-
33745947856
-
Middle school students' understanding of core algebraic concepts: Equality and variable
-
Knuth E.J., Alibali M.W., McNeil N.M., Weinberg A., Stephens A.C. Middle school students' understanding of core algebraic concepts: Equality and variable. Zentralblatt für Didaktik der Mathematik 2005, 37(1):68-76.
-
(2005)
Zentralblatt für Didaktik der Mathematik
, vol.37
, Issue.1
, pp. 68-76
-
-
Knuth, E.J.1
Alibali, M.W.2
McNeil, N.M.3
Weinberg, A.4
Stephens, A.C.5
-
23
-
-
33745962847
-
Does understanding the equal sign matter? Evidence from solving equations
-
Knuth E.J., Stephens A.C., McNeil N.M., Alibali M.W. Does understanding the equal sign matter? Evidence from solving equations. Journal for Research in Mathematics Education 2006, 37(4):297-312.
-
(2006)
Journal for Research in Mathematics Education
, vol.37
, Issue.4
, pp. 297-312
-
-
Knuth, E.J.1
Stephens, A.C.2
McNeil, N.M.3
Alibali, M.W.4
-
24
-
-
17144418693
-
Structure sense: The relationship between algebraic and numerical contexts
-
Linchevski L., Livneh D. Structure sense: The relationship between algebraic and numerical contexts. Educational Studies in Mathematics 1999, 40:173-196.
-
(1999)
Educational Studies in Mathematics
, vol.40
, pp. 173-196
-
-
Linchevski, L.1
Livneh, D.2
-
25
-
-
33645242498
-
Knowledge change as a function of mathematics experience: All contexts are not created equal
-
McNeil N.M., Alibali M.W. Knowledge change as a function of mathematics experience: All contexts are not created equal. Journal of Cognition and Development 2005, 6:385-406.
-
(2005)
Journal of Cognition and Development
, vol.6
, pp. 385-406
-
-
McNeil, N.M.1
Alibali, M.W.2
-
26
-
-
33748301986
-
Middle-school students' understanding of the equal sign: The books they read can't help
-
McNeil N.M., Grandau L., Knuth E., Alibali M., Stephens A., Hattikudur S., et al. Middle-school students' understanding of the equal sign: The books they read can't help. Cognition and Instruction 2006, 24(3):367-385.
-
(2006)
Cognition and Instruction
, vol.24
, Issue.3
, pp. 367-385
-
-
McNeil, N.M.1
Grandau, L.2
Knuth, E.3
Alibali, M.4
Stephens, A.5
Hattikudur, S.6
-
27
-
-
79951783219
-
What is that equal sign doing in the middle? Fostering relational thinking while negotiating the meaning of the equal sign
-
Molina M., Ambrose R. What is that equal sign doing in the middle? Fostering relational thinking while negotiating the meaning of the equal sign. Teaching Children Mathematics 2006, 13(2):111-117.
-
(2006)
Teaching Children Mathematics
, vol.13
, Issue.2
, pp. 111-117
-
-
Molina, M.1
Ambrose, R.2
-
28
-
-
69349101625
-
From an operational to a relational conception of the equal sign: Thirds graders' developing algebraic thinking
-
Molina M., Ambrose R. From an operational to a relational conception of the equal sign: Thirds graders' developing algebraic thinking. Focus on Learning Problems in Mathematics 2008, 30(1):61-80.
-
(2008)
Focus on Learning Problems in Mathematics
, vol.30
, Issue.1
, pp. 61-80
-
-
Molina, M.1
Ambrose, R.2
-
29
-
-
0003865799
-
-
The National Council of Teachers of Mathematics, Reston, VA, National Council of Teachers of Mathematics
-
National Council of Teachers of Mathematics Principles and standards for school mathematics 2000, The National Council of Teachers of Mathematics, Reston, VA.
-
(2000)
Principles and standards for school mathematics
-
-
-
30
-
-
79951791407
-
Assessing knowledge of mathematical equivalence: A construct-modeling approach
-
Rittle-Johnson B., Matthews P.G., Taylor R.S., McEldoon K.L. Assessing knowledge of mathematical equivalence: A construct-modeling approach. Journal of Educational Psychology 2011, 103(1):85-104.
-
(2011)
Journal of Educational Psychology
, vol.103
, Issue.1
, pp. 85-104
-
-
Rittle-Johnson, B.1
Matthews, P.G.2
Taylor, R.S.3
McEldoon, K.L.4
-
31
-
-
27744481982
-
Reasoning about operations: Early algebraic thinking in grades K-6
-
National Council of Teachers of Mathematics, Reston, VA, L.V. Stiff (Ed.)
-
Schifter D. Reasoning about operations: Early algebraic thinking in grades K-6. Developing mathematical reasoning in grades K-12 1999, 62-81. National Council of Teachers of Mathematics, Reston, VA. L.V. Stiff (Ed.).
-
(1999)
Developing mathematical reasoning in grades K-12
, pp. 62-81
-
-
Schifter, D.1
-
32
-
-
33750282308
-
Equivalence and relational thinking: Preservice elementary teachers' awareness of opportunities and misconceptions
-
Stephens A.C. Equivalence and relational thinking: Preservice elementary teachers' awareness of opportunities and misconceptions. Journal of Mathematics Teacher Education 2006, 9:249-278.
-
(2006)
Journal of Mathematics Teacher Education
, vol.9
, pp. 249-278
-
-
Stephens, A.C.1
|