-
1
-
-
0001413504
-
The mathematical understandings that prospective teachers bring to teacher education
-
Ball, D. L. (1990). The mathematical understandings that prospective teachers bring to teacher education. The Elementary School Journal, 90, 449–466.
-
(1990)
The Elementary School Journal
, vol.90
, pp. 449-466
-
-
Ball, D.L.1
-
2
-
-
0003045626
-
Halves, pieces, and twoths: Constructing and using representational contexts in teaching fractions
-
T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Hillsdale, NJ: Erlbaum
-
Ball, D. L. (1993). Halves, pieces, and twoths: Constructing and using representational contexts in teaching fractions. In T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Rational numbers: An integration of research (pp. 157–195). Hillsdale, NJ: Erlbaum.
-
(1993)
Rational Numbers: An Integration of Research
, pp. 157-195
-
-
Ball, D.L.1
-
4
-
-
2442594419
-
Interweaving content and pedagogy in teaching and learning to teach: Knowing and using mathematics
-
J. Boaler (Ed.), Westport, CT: Ablex
-
Ball, D. L., & Bass, H. (2000). Interweaving content and pedagogy in teaching and learning to teach: Knowing and using mathematics. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 83–104). Westport, CT: Ablex.
-
(2000)
Multiple Perspectives on Mathematics Teaching and Learning
, pp. 83-104
-
-
Ball, D.L.1
Bass, H.2
-
5
-
-
33750173539
-
Knowing mathematics for teaching: Who knows mathematics well enough to teach third grade, and how can we decide?
-
Fall
-
Ball, D. L., Hill, H. C., & Bass, H. (2005, Fall). Knowing mathematics for teaching: Who knows mathematics well enough to teach third grade, and how can we decide? American Educator, 14–17, 20–22, 43–46.
-
(2005)
American Educator
-
-
Ball, D.L.1
Hill, H.C.2
Bass, H.3
-
6
-
-
33748743124
-
Exploring mathematics through the analysis of errors
-
Borasi, R. (1987). Exploring mathematics through the analysis of errors. For the Learning of Mathematics, 7(3), 2–8.
-
(1987)
For the Learning of Mathematics
, vol.7
, Issue.3
, pp. 2-8
-
-
Borasi, R.1
-
7
-
-
21344487148
-
Capitalizing on errors as “springboards for inquiry”: A teaching experiment
-
Borasi, R. (1994). Capitalizing on errors as “springboards for inquiry”: A teaching experiment. Journal for Research in Mathematics Education, 25, 166–208.
-
(1994)
Journal for Research in Mathematics Education
, vol.25
, pp. 166-208
-
-
Borasi, R.1
-
8
-
-
0040821600
-
A critical analysis of teaching rational number
-
T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Hillsdale, NJ: Erlbaum
-
Brown, C. A. (1993). A critical analysis of teaching rational number. In T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Rational numbers: An integration of research (pp. 197–218). Hillsdale, NJ: Erlbaum.
-
(1993)
Rational Numbers: An Integration of Research
, pp. 197-218
-
-
Brown, C.A.1
-
9
-
-
0002503018
-
Introduction: The discipline and practice of qualitative research
-
N. K. Denzin & Y. S. Lincoln (Eds.), 2nd ed., Thousand Oaks, CA: Sage
-
Denzin, N. K., & Lincoln, Y. S. (2000). Introduction: The discipline and practice of qualitative research. In N. K. Denzin & Y. S. Lincoln (Eds.), Handbook of qualitative research (2nd ed., pp. 1–28). Thousand Oaks, CA: Sage.
-
(2000)
Handbook of Qualitative Research
, pp. 1-28
-
-
Denzin, N.K.1
Lincoln, Y.S.2
-
10
-
-
0002899255
-
The relation of theory to practice in education
-
R. Archambault (Ed.), Chicago: University of Chicago Press. (Original work published 1904)
-
Dewey, J. (1964). The relation of theory to practice in education. In R. Archambault (Ed.), John Dewey on education (pp. 313–338). Chicago: University of Chicago Press. (Original work published 1904)
-
(1964)
John Dewey on Education
, pp. 313-338
-
-
Dewey, J.1
-
11
-
-
85147072194
-
-
February, Paper presented at the 33rd annual meeting of the Research Council on Mathematic Learning, Las Vegas, NV
-
Ding, M., & Li, X. (2006, February). Students’ errors in transitions from verbal to symbolic understanding. Paper presented at the 33rd annual meeting of the Research Council on Mathematic Learning, Las Vegas, NV.
-
(2006)
Students’ Errors in Transitions from Verbal to Symbolic Understanding
-
-
Ding, M.1
Li, X.2
-
12
-
-
0040097684
-
Benefits and costs of research that links teaching and learning mathematics
-
T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Hillsdale, NJ: Erlbaum
-
Hiebert, J. (1993). Benefits and costs of research that links teaching and learning mathematics. In T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Rational numbers: An integration of research (pp. 219–238). Hillsdale, NJ: Erlbaum.
-
(1993)
Rational Numbers: An Integration of Research
, pp. 219-238
-
-
Hiebert, J.1
-
13
-
-
0010063405
-
-
Portsmouth, NH: Heinemann
-
Hiebert, J., Carpenter, T. P., Fennema, E., Fuson, K. C., Wearne, D., Murray, H., et al. (1997). Making sense: Teaching and learning mathematics with understanding. Portsmouth, NH: Heinemann.
-
(1997)
Making Sense: Teaching and Learning Mathematics with Understanding
-
-
Hiebert, J.1
Carpenter, T.P.2
Fennema, E.3
Fuson, K.C.4
Wearne, D.5
Murray, H.6
-
14
-
-
84993725998
-
A knowledge base for the teaching profession: What would it look like and how can we get one?
-
Hiebert, J., Gallimore, R., & Stigler, J. W. (2002). A knowledge base for the teaching profession: What would it look like and how can we get one? Educational Researcher, 31(5), 3–15.
-
(2002)
Educational Researcher
, vol.31
, Issue.5
, pp. 3-15
-
-
Hiebert, J.1
Gallimore, R.2
Stigler, J.W.3
-
15
-
-
0009596612
-
Instruction and cognitive change in mathematics
-
Hiebert, J., & Wearne, D. (1988). Instruction and cognitive change in mathematics. Educational Psychologist, 23, 105–117.
-
(1988)
Educational Psychologist
, vol.23
, pp. 105-117
-
-
Hiebert, J.1
Wearne, D.2
-
16
-
-
8644231607
-
Learning mathematics for teaching: Results from california’s mathematics professional development institutes
-
Hill, H. C., & Ball, D. L. (2004). Learning mathematics for teaching: Results from California’s mathematics professional development institutes. Journal for Research in Mathematics Education, 35, 330–351.
-
(2004)
Journal for Research in Mathematics Education
, vol.35
, pp. 330-351
-
-
Hill, H.C.1
Ball, D.L.2
-
17
-
-
21144450961
-
Effects of teachers’ mathematical knowledge for teaching on student achievement
-
Hill, H. C., Rowan, B., & Ball, D. L. (2005). Effects of teachers’ mathematical knowledge for teaching on student achievement. American Educational Research Journal, 42, 371–406.
-
(2005)
American Educational Research Journal
, vol.42
, pp. 371-406
-
-
Hill, H.C.1
Rowan, B.2
Ball, D.L.3
-
18
-
-
7044286358
-
Developing measures of teachers’ mathematics knowledge for teaching
-
Hill, H. C., Schilling, S. G., & Ball, D. L. (2004). Developing measures of teachers’ mathematics knowledge for teaching. The Elementary School Journal, 105, 11–30.
-
(2004)
The Elementary School Journal
, vol.105
, pp. 11-30
-
-
Hill, H.C.1
Schilling, S.G.2
Ball, D.L.3
-
19
-
-
0002358189
-
Rational and fractional numbers: From quotient fields to recursive understanding
-
T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Hillsdale, NJ: Erlbaum
-
Kieren, T. E. (1993). Rational and fractional numbers: From quotient fields to recursive understanding. In T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Rational numbers: An integration of research (pp. 49–84). Hillsdale, NJ: Erlbaum.
-
(1993)
Rational Numbers: An Integration of Research
, pp. 49-84
-
-
Kieren, T.E.1
-
21
-
-
84901605715
-
-
Teacher’s Edition. Menlo Park, CA: Dale Seymour Publications
-
Lappan, G., Fey, J. T., Fitzgerald, W. M., Friel, S. N., & Phillips, E. D. (Eds.). (1998). Connected mathematics: Bits and pieces 1. Understanding rational numbers. Teacher’s Edition. Menlo Park, CA: Dale Seymour Publications.
-
(1998)
Connected Mathematics: Bits and Pieces 1. Understanding Rational Numbers
-
-
Lappan, G.1
Fey, J.T.2
Fitzgerald, W.M.3
Friel, S.N.4
Phillips, E.D.5
-
23
-
-
0000650848
-
Expertise in mathematics instruction: Subject matter knowledge
-
Leinhardt, G., & Smith, D. A. (1985). Expertise in mathematics instruction: Subject matter knowledge. Journal of Educational Psychology, 77, 247–271.
-
(1985)
Journal of Educational Psychology
, vol.77
, pp. 247-271
-
-
Leinhardt, G.1
Smith, D.A.2
-
26
-
-
27544486515
-
Assessment of rational number understanding: A schema-based approach
-
T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Hillsdale, NJ: Erlbaum
-
Marshall, S. P. (1993). Assessment of rational number understanding: A schema-based approach. In T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Rational numbers: An integration of research (pp. 261–288). Hillsdale, NJ: Erlbaum.
-
(1993)
Rational Numbers: An Integration of Research
, pp. 261-288
-
-
Marshall, S.P.1
-
27
-
-
22444453037
-
Developing children’s understanding of the rational numbers: A new model and an experimental curriculum
-
Moss, J., & Case, R. (1999). Developing children’s understanding of the rational numbers: A new model and an 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
-
29
-
-
0003051633
-
Research on teaching and learning mathematics: Two disciplines of scientific inquiry
-
M. C. Wittrock (Ed.), 3rd ed., New York: Macmillan
-
Romberg, T. A., & Carpenter, T. P. (1986). Research on teaching and learning mathematics: Two disciplines of scientific inquiry. In M. C. Wittrock (Ed.), Handbook of research on teaching (3rd ed., pp. 850–873). New York: Macmillan.
-
(1986)
Handbook of Research on Teaching
, pp. 850-873
-
-
Romberg, T.A.1
Carpenter, T.P.2
-
31
-
-
84973848880
-
Those who understand: Knowledge growth in teaching
-
Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14.
-
(1986)
Educational Researcher
, vol.15
, Issue.2
, pp. 4-14
-
-
Shulman, L.S.1
|