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References
Dörfler, W., & McLone, R. R. (1986). Mathematics as a school subject. In B. Christiansen, A. G. Howson, & M. Otte (Eds.), Perspectives on mathematics education (pp. 49–97). Dordrecht, Netherlands: Reidel.
Fennema, E., & Franke, M. L. (1992). Teachers’ knowledge and its impact. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 147–164). New York: Macmillan.
Grouws, D. (Ed.). (1992). Handbook of research on mathematics teaching and learning. New York: Macmillan.
Hoyles, C. (1992). Mathematics teaching and mathematics teacher: A meta-case study. For the Learning of Mathematics, 12(3), 32–45.
Otte, M., & Reiss, V. (1979). The education and professional life of mathematics teachers. In International Commission on Mathematical Instruction (ICMI) (Ed.), New trends in mathematics teaching (Vol. IV, pp. 107–133). Paris: UNESCO.
Steiner, H.-G. (Ed.). (1979). The education of mathematics teachers. IDM Materialien und Studien 15. Bielefeld: Universität Bielefeld.
Steiner, H.-G. & Vermandel, A. (Eds.). (1988). Investigating and bridging the teaching-learning gap. Proceedings of the 3rd International TME Conference. Antwerp: University of Antwerp.
Tall, D. (Ed.). (1991). Advanced mathematical thinking. Dordrecht, Netherlands: Kluwer.
Thompson, A. G. (1992). Teachers’ beliefs and conceptions: A synthesis of research. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 127–146). New York: Macmillan.
Wittmann, E. C. (1989). The mathematical training of teachers from the point of view of education. Journal für Mathematikdidaktik, 10(4), 291–308.
References
Andelfinger, B. (1984). Arithmetische und algebraische Lerner-Konzepte in der S I. In Beiträge zum Mathematikunterricht 1984 (pp. 71–74). Bad Salzdetfurth: Franzbecker.
Blankenagel, J. (1985). Numerische Mathematik im Rahmen der Schulmathematik. Mannheim: Bibliographisches Institut.
Blum, W., & Kirsch, A. (1979). Zur Konzeption des Analysisunterrichts in Grundkursen. Der Mathematikunterricht, 25(3), 6–24.
Blum, W., & Törner, G. (1983). Didaktik der Analysis. Göttingen: Vandenhoeck & Puprecht.
Borovcnik, M. (1992). Stochastik im Wechselspiel von Intuitionen und Mathematik. Mannheim: Wissenschaftsverlag.
Clark, D. C. (1971). Teaching concepts in the classroom: A set of teaching prescriptions derived from experimental research. Journal of Educational Psychology, 62(3), 253–278.
Dyrszlag, Z. (1972a). Zum Verständnis mathematischer Begriffe 1. Mathematik in der Schule, 10(1), 36–44.
Dyrszlag, Z. (1972b). Zum Verständnis mathematischer Begriffe 2. Mathematik in der Schule, 10(2), 105–114.
Fischer, R. (1976). Fundamentale Ideen bei den reellen Funktionen. Zentralblatt für Didaktik der Mathematik, 8(4), 185–192.
Fischer, R. (1978). Die Rolle des Exaktifizierens im Analysisunterricht. Didaktik der Mathematik, 6(3), 212–226.
Freudenthal, H. (1983). Didactical phenomenology of mathematical structures. Dordrecht, Netherlands: Reidel.
Griesel, H. (1971). Die mathematische Analyse als Forschungsmittel in der Didaktik der Mathematik. In Beiträge zum Mathematikunterricht 1971 (pp. 72–81). Hannover: Schroedel.
Griesel, H., & Steiner, H.-G., (1992), The organization of didactics of mathematics as a professional field. Zentralblatt für Didaktik der Mathematik, 24 (7), 287–295.
Herscovics, N., & Bergeron, J. (1983). Models of understanding. Zentralblatt für Didaktik der Mathematik, 15(2), 75–83.
Holland, G. (1988). Geometrie in der Sekundarstufe. Mannheim: Wissenschaftsverlag.
Jahnke, H. N. (1978). Zum Verhältnis von Wissensentwicklung und Begründung in der Mathematik-Beweisen als didaktisches Problem. IDM Materialien und Studien 10. Bielefeld: Universität Bielefeld.
Karcher, H. (1973). Analysis auf der Schule. Didaktik der Mathematik, 1(1), 46–69.
Keitel, Ch., Otte, M., & Seeger, F. (1980). Text, Wissen, Tätigkeit. Königstein: Scriptor.
Kirsch, A. (1977). Aspects of simplification in mathematics teaching. In H. Athen & H. Kunle (Eds.), Proceedings of the Third International Congress of Mathematical Education (pp. 98–120). Karlsruhe: Organizing Committee of the 3rd ICME.
Klein, F. (1926). Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert (Vol. 1). Berlin: Springer.
Klein, F. (1968). Elementarmathematik vom höheren Standpunkte aus (Vols 1–3, Reprint). Berlin: Springer.
Laugwitz, D. (1973). Ist Differentialrechnung ohne Grenzwertbegriff möglich? Mathe-matisch-Physikalische Semesterberichte, 20 (2), 189–201.
Mangoldt, H., & Knopp, K. von (1965). Einführung in die höhere Mathematik. (Vol. 3, 12th ed.). Leipzig: Hirzel.
Ostrowski, A. (1952). Vorlesungen über Differential-und Integralrechnung (Vol. 1). Basel: Birkhäuser.
Otte, M., & Steinbring, H. (1977). Probleme der Begriffsentwicklung — zum Stetigkeitsbegriff. Didaktik der Mathematik, 5(1), 16–25.
Steinbring, H. (1988). “Eigentlich ist das nichts Neues für Euch!” — Oder: Läßt sich mathematisches Wissen auf bekannte Fakten zurückführen? Der Mathematikunterricht, 34(2), 30–43.
Steiner, H.-G. (1966a). Vorlesungen über Grundlagen und Aufbau der Geometrie in didaktischer Sicht. Münster: Aschendorff.
Steiner, H.-G. (1966b). Äquivalente Fassungen des Vollständigkeitsaxioms für die Theorie der reellen Zahlen. Mathematisch-Physikalische Semesterberichte, 13(2), 180–201.
Steiner, H.-G. (1969). Aus der Geschichte des Funktionsbegriffs. Der Mathematikunterricht, 15(3), 13–39.
Tietze, U.-P., Klika, M., & Wolpers, H. (1982). Didaktik des Mathematikunterrichts in der Sekundarstufe II. Braunschweig: Vieweg.
Viet, U. (1978). Umgangssprache und Fachsprache im Geometrieunterricht des 5. und 6. Schuljahres. In H. Bauersfeld (Ed.), Fallstudien und Analysen zum Mathematikunterricht (pp. 13–23). Hannover: Schroedel.
Voigt, J. (1991). Das Thema im Unterrichtsprozeß. In Beiträge zum Mathematikunterricht 1991 (pp. 469–472). Bad Salzdetfurth: Franzbecker.
Vollrath, H.-J. (1973). Folgenringe. Der Mathematikunterricht, 19(4), 22–34.
Vollrath, H.-J. (1974). Didaktik der Algebra. Stuttgart: Klett.
Vollrath, H.-J. (1978). Lernschwierigkeiten, die sich aus dem umgangssprachlichen Verständnis geometrischer Begriffe ergeben. Schriftenreihe des IDM. Bielefeld: Universität Bielefeld, 18, 57–73.
Vollrath, H.-J. (1984). Methodik des Begriffslehrens im Mathematikunterricht. Stuttgart: lett.
Vollrath, H.-J. (1986). Zur Beziehung zwischen Begriff und Problem in der Mathematik. Journal für Mathematikdidaktik, 7(4), 243–268.
Vollrath, H.-J. (1987). Begriffsbildung als schöpferisches Tun im Mathematikunterricht. Zentralblatt für Didaktik der Mathematik, 19(3), 123–127.
Vollrath, H.-J. (1988). Mathematik bewerten lernen. In P. Bender (Ed.), Mathematikdidaktik: Theorie und Praxis, Festschrift für Heinrich Winter (pp. 202–209). Berlin: Cornelsen.
Vollrath, H.-J. (1993). Paradoxien des Verstehens von Mathematik. Journal für Mathematikdidaktik, 14(1), 35–58.
Weidig, I. (1992). On the school system in Germany and the regulation of mathematics teaching. Zentralblatt für Didaktik der Mathematik, 24(7), 214–219.
Winter, H. (1983). Über die Entfaltung begrifflichen Denkens im Mathematikunterricht. Journal für Mathematikdidaktik, 4(3), 175–204.
Wittmann, E. (1981). Grundfragen des Mathematikunterrichts. (6th ed.). Braunschweig: Vieweg.
Wittmann, E. (1984). Teaching units as the integrating core of mathematics education. Educational Studies in Mathematics, 15(1), 25–36.
References
Begle, E. J. (1972). Teacher knowledge and student achievement in algebra (SMSG Reports No. 9). Stanford: SMSG.
Bromme, R. (1981). Das Denken von Lehrern bei der Unterrichtsvorbereitung. Eine empirische Untersuchung zu kognitiven Prozessen von Mathematiklehrern. Weinheim: Beltz.
Bromme, R. (1987). Teachers’ assessment of students’ difficulties and progress in understanding in the classroom. In J. Calderhead (Ed.), Exploring teachers’ thinking (pp. 125–146). London: Cassell.
Bromme, R. (1992). Der Lehrer als Experte. Zur Psychologie des professionellen Wissens. Bern: Huber.
Bromme, R., & Steinbring, H. (1990). Eine graphische Analysetechnik für Unterrichtsverläufe. In K. Haussmann & M. Reiss (Eds.), Mathematische Lehr-Lern-Denkprozesse (pp. 55–81). Göttingen: Hogrefe.
Brophy, J., & Good, T. (1974). Teacher-student relationships. Causes and consequences. New York: Holt, Rinehart & Winston.
Brophy, J., & Good, T. (1986). Teacher behavior and student achievement. In M. Wittrock (Ed.), Handbook of research on teaching (pp. 328–375). New York: McMillan.
Carlsen, W. S. (1987, April). Why do you ask? The effects of science teacher subject-matter knowledge on teacher questioning and classroom discourse. Paper presented at the annual meeting of the American Educational Research Association, Washington, DC.
Carpenter, T. P., Fennema, E., Peterson, P. L., & Carey, D. A. (1988). Teachers’ pedagogical content knowledge of students’ problem solving in elementary arithmetic. Journalfor Research in Mathematics Education, 19, 385–401.
Carpenter, T. P., & Moser, J. (1984). The acquisition of addition and subtraction concepts in grades one through three. Journal of Research in Mathematics Education, 15, 179–202.
Chevallard, Y. (1985). La transposition didactique. Grenoble: La Pensée Sauvage.
Clift, R. T., Ghatala, E. S., & Naus, M. M. (1987, April). Exploring teachers’ knowledge of strategic study activity. Paper presented at the annual meeting of the American Educational Research Association, Washington, DC.
Cooney, T. J. (1985). A beginning teacher’s view of problem solving. Journal for Research in Mathematics Education, 16, 324–336.
Cooper, H. M. (1979). Pygmalion grows up: A model for teacher expectation, communication and performance influence. Review of Educational Research, 49, 389–410.
Corno, L., & Snow, R. (1986). Adapting teaching to individual differences among learners. In M. Wittrock (Ed.), Handbook of research on teaching (pp. 605–629). New York: McMillan.
Dobey, D. C, & Schäfer, L. E. (1984). The effects of knowledge on elementary science inquiry teaching. Science Education, 68, 39–51.
Druva, C. A., & Anderson, R. D. (1983). Science teacher characteristics by teacher behavior and by student outcome. A meta-analysis of research. Journal of Research in Science Teaching, 20, 467–479.
Dunkin, M. J., & Biddle, B. J. (1974). The study of teaching. New York: Rinehart & Winston.
Eisenberg, T. A. (1977). Begle revisted: Teacher knowledge and student achievement in algebra. Journal for Research in Mathematics Education, 8, 216–222.
Gage, N., & Berliner, D. (1977). Pädagogische Psychologie. München: Urban & Schwarzenberg.
Greeno, J. G., Riley, M. S., & Gelman, R. (1984). Conceptual competence and children’s counting. Cognitive Psychology, 16, 94–134.
Grossman, P. L. (1990). The making of a teacher: Teacher knowledge and teacher education. New York: Teachers College Press.
Gudmundsdottir, S., & Shulman, L. (1986). Pedagogical content knowledge in social studies. In J. Lowyck (Ed,), Teacher thinking and professional action. Proceedings of the Third IS ATT Conference (pp. 442–455). Leuven: University of Leuven.
Hashweh, M. Z. (1986, April). Effects of subject-matter knowledge on the teaching of biology and physics. Paper presented at the annual meeting of the American Educational Research Association, San Francisco.
Heymann, H. W. (1982). Didaktisches Handeln im Mathematikunterricht aus Lehrersicht. Bericht über zwei Fallstudien zu subjektiven Hintergründen des Lehrerhandelns. In H. Bauersfeld, H. W. Heymann, G. Krummheuer, J. H. Lorenz, & V. Reiβ (Eds.), Analysen zum Unterrichtshandeln (pp. 142–167). Köln: Aulis.
Hoge, R. D., & Coladarci, T. (1989). Teacher-based judgments of academic achievement. Review of Educational Research, 59, 297–313.
Hollon, R. E., & Anderson, C. W. (1987, April). Teachers’ beliefs about students’ learning processes in science: Self-reinforcing belief systems. Paper presented at the annual meeting of the American Educational Research Association, Washington DC.
Jecker, J. D., Mackoby, W., & Breitrose, M. S. (1965). Improving accuracy in interpreting non-verbal cues of comprehension. Psychology in the Schools, 2, 239–244.
Kesler, R. J. (1985). Teachers’ instructional behavior related to their conceptions of teaching mathematics and their level of dogmatism: Four case studies. Dissertation, University of Georgia. Ann Arbor: UMI.
Kounin, J. (1970). Discipline and group managment in classrooms. New York: Holt, Rinehart & Winston.
Leinhardt, G., & Smith, D. (1985). Expertise in mathematics instruction: Subject matter knowledge. Journal of Educational Psychology, 77, 247–271.
Marks, R. (1987, April). Problem solving with a small “p”: A teachers’ view. Paper presented at the annual meeting of the American Educational Research Association, Washington, DC.
McGalliard, W. A. (1983). Selected factors in the conceptual system of geometry teachers: four case studies. Dissertation, University of Georgia, Athens. Ann Arbor: UMI.
Nesher, P., & Teubal, E. (1975). Verbal cues as an interfering factor in verbal problem solving. Educational Studies in Mathematics, 6, 41–51.
Oser, F. (in press). Moral perspectives on teaching. Review of Research in Education.
Pfeiffer, H. (1981). Zur sozialen Organisation von Wissen im Mathematikunterricht. IDM Materialien und Studien 21. Bielefeld: Universität Bielefeld.
Putnam, R. T. (1987). Structuring and adjusting content for students: A study of live and simulated tutoring of addition. American Educational Research Journal, 24, 13–48.
Roehler, L. R., Duffy, G. G., Conley, M., Hermann, B. A., Johnson, J., & Michelson, S. (1987, April). Exploring preservice teachers’ knowledge structures. Paper presented at the annual meeting of the American Educational Research Association, Washington DC.
Romberg, T. (1988). Can teachers be professionals? In D. Grouws & T. J. Cooney (Eds.), Perspectives on research on effective mathematics Teaching (Vol. 1, pp. 224–245). Reston: NCTM & Erlbaum.
Rosenthal, R., & Jacobsen, L. (1971). Pygmalion im Unterricht. Lehrererwartungen und Intelligenzentwicklung der Schüller. Weinheim: Beltz.
Rutter, M., Manghan, B., Mortimore, P., & Queston, J. (1980). Fifteen thousand hours Secondary schools and their effects on children. London: Butler & Tanne.
Schön, D. (1983). The reflective practitioner. New York: Basic Books.
Schrader, F. W., & Helmke, A. (1990). Lassen sich Lehrer bei der Leistungsbeurteilung yon sachfremden Gesichtspunkten leiten? Eine Untersuchung zu Determinanten diagnostischer Lehrerurteile. Zeitschrift für Entwicklungspsychologie und Pädagogische Psychologie, 22, 312–324.
Shefelbine, J. L., & Shiel, G. (1987, April). Preservice teachers’ schemata for a diagnostic framework in reading. Paper presented at the annual meeting of the American Educational Research Association, Washington, DC.
Shroyer, J. C. (1981). Critical moments in the teaching of mathematics: What makes teaching difficult? Dissertation, Michigan State University, East Lansing, MI.
Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15, 4–14.
Stein, M., Baxter, J., & Leinhardt, G. (1990). Subject-matter knowledge and elementary instruction: A case from functions and graphing. American Educational Research Journal, 27, 639–663.
Steiner, H. G. (1987). Philosophical and epistemological aspects of mathematics and their interaction with theory and practice in mathematics education. For the Learning of Mathematics, 7(1), 7–13.
Sträβer, R. (1985). Anwendung der Mathematik — Ergebnisse von Lehrer-Interviews. Mathematicia Didactica, 8, 167–178.
Thompson, A. (1984). The relationship of teachers’ conceptions of mathematics and mathematics teaching to instructional practice. Educational Studies in Mathematics, 15,105–127.
Tietze, U.-P. (1986). Der Mathematiklehrer in der Sekundarstufe II. Bericht aus einem For schungsprojekt (Texte zur mathematisch-naturwissenschaftlich-technischen Forschung und Lehre Nr. 18). Bad Salzdetfurth: Franzbecker.
Yaacobi, D., & Sharan, S. (1985). Teacher beliefs and practices. The discipline carries the message. Journal of Education for Teaching, 11, 187–199.
References
A. G. Mathematiklehrerbildung. (1981). Perspektiven für die Ausbildung des Mathematiklehrers. Köln: Aulis.
Andelfinger, B. (1992). Softening the education of mathematics teachers. In F. Seeger & H. Steinbring (Eds.), (1992a), (pp. 225–230).
Balacheff, N. (1987). Processus de preuve et situations de validation. Educational Studies in Mathematics, 18(2), 147–176.
Bartolini Bussi, M. (1992). Mathematics knowledge as a collective enterprise. In F. Seeger & H. Steinbring (Eds.), (1992a), (pp. 121–151).
Bauersfeld, H. (1978). Kommunikationsmuster im Mathematikunterricht — Eine Analyse am Beispiel der Handlungsverengung durch Antworterwartung. In H. Bauersfeld (Ed.), Fallstudien und Analysen zum Mathematikunterricht (pp. 158–170). Hannover: Schroedel.
Bazzini, L. (1991). Curriculum development as a meeting point for research and practice. Zentralblatt für Didaktikder Mathematik, 23(4), 128–131.
Bell, A. (1992). Studying teaching. In F. Seeger & H. Steinbring (Eds.), (1992a), (pp. 153–163).
Bromme, R., & Steinbring, H. (1990). Die epistemologische Struktur mathematischen Wissens im Unterrichtsprozeß. In R. Bromme, F. Seeger, & H. Steinbring (Eds.), Aufgaben als Anforderungen an Lehrer und Schüler (pp. 151–229). Köln: Aulis.
Brown, S., & Cooney, T. J. (1991). Stalking the dualism between theory and practice. Zentralblatt für Didaktik der Mathematik, 23(4), 112–117.
Burton, L. (1991). Models of systematic co-operation betweeen theory and practice. Zentralblatt für Didaktik der Mathematik, 23(4), 118–121.
Christiansen, B. et. al. (1985). Systematic co-operation between theory and practice in mathematics education. Copenhagen: Royal Danish School of Educational Studies (ICME V).
Cooney, T. J. (1988). The issue of reform: What have we learned from yesteryear? The Mathematics Teacher, 81(5), 352–363.
Ernest, P. (1992). The relationship between the objective and subjective knowledge of mathematics. In F. Seeger & H. Steinbring (Eds.), (1992a), (pp. 33–48).
Harten, G. von, & Steinbring, H. (1991). Lesson transcripts and their role in the in-service training of mathematics teachers. Zentralblatt für Didaktik der Mathematik, 23(5), 169–177.
Jahnke, H. N. (1978). Zum Verhältnis von Wissensentwicklung und Begründung in der Mathematik — Beweisen als didaktisches Problem. IDM Materialien und Studien 10. Bielefeld: Universität Bielefeld.
Kilpatrick, J. (1981). Research on mathematical learning and thinking in the United States. Recherches en Didactiques des Mathématiques, 2(3), 363–380.
Lakatos, I. (1976). Proofs and refutations. The logic of mathematical discovery. Cambridge.
Mason, J. (1987). What do symbols represent? In C. Janvier (Ed.), Problems of representation in the teaching and learning of mathematics (pp. 73–81). Hillsdale, NJ: Erlbaum.
Mason, J. H. (1992). Reflections on dialogue between theory and practice, reconciled by awareness. In F. Seeger & H. Steinbring (Eds.), (1992a), (pp. 177–192).
Odgen, C. K., & Richards, F. A. (1923). The meaning of meaning. London: Routledge and Kegan Paul.
Otte, M. (1984a). Komplementarität. IDM Occasional Paper 42. Bielefeld: Universität Bielefeld.
Otte, M. (1984b). Was ist Mathematik? IDM Occasional Paper 43. Bielefeld: Universität Bielefeld.
Romberg, T. A. (1985a). Research and the job of teaching. In T. A. Romberg (Ed.), Using research in the professional life of mathematics teachers (ICME 5) (pp. 2–7). Madison, WI: Wisconsin Center for Education Research, School of Education, University of Wisconsin.
Romberg, T. A. (Ed.). (1985b). Using research in the professional life of mathematics teachers (ICME 5). Madison, WI: Wisconsin Center for Education Research, School of Education, University of Wisconsin.
Romberg, T. A. (1988). Can teachers be professionals? In D. A. Grouws, T. J. Cooney, & D. Jones (Eds.), Effective mathematics teaching (pp. 224–244). Reston, VA: NCTM & Lawrence Erlbaum.
Rouchier, A., & Steinbring, H. (1988). The practice of teaching and research in didactics, Recherches en Didactique des Mathématiques, 9(2), 189–220.
Seeger, F., & Steinbring, H. (Eds.). (1992a). The dialogue between theory and practice in mathematics education: Overcoming the broadcast metaphor. Proceedings of the Fourth Conference on Systematic Cooperation between Theory and Practice in Mathematics Education (SCTP). Brakel, Germany. IDM Materialien und Studien 38. Bielefeld: Universität Bielefeld.
Seeger, F., & Steinbring, H. (1992b). The myth of mathematics. In F. Seeger & H. Steinbring (Eds.), (1992a), (pp. 69–89).
Steinbring, H. (1989). Routine and meaning in the mathematics classroom. For the Learning of Mathematics, 9(1), 24–33.
Steinbring, H. (1991a). The concept of chance in everyday teaching: Aspects of a social epistemology of mathematical knowledge. Educational Studies in Mathematics, 22, 503–522.
Steinbring, H. (1991b). Eine andere Epistemologie der Schulmathematik-Kann der Lehrer von seinen Schülern lernen? mathematica didactica, 14(2/3), 69–99.
Steinbring, H. (1992). The relation between social and conceptual conventions in everyday mathematics teaching. Unpublished manuscript. Bielefeld: IDM.
Steinbring, H. (in press). Epistemology of mathematical knowledge and teacher-learner interaction. The Journal of Mathematical Behavior.
Verstappen, P. (1991). Ten major issues concerning systematic cooperation between theory and practice in mathematics education. Zentralblatt für Didaktik der Mathematik, 23(4), 122–127.
Verstappen, P. F. L. (Ed.). (1988). Report of the Second Conference on Systematic Cooperation Between Theory and Practice in Mathematics Education. Lochem/Netherlands. Enschede: S.L.O.
Voigt, J. (1991). Interaktionsanalysen in der Lehrerbildung. Zentralblatt für Didaktik der Mathematik, 23(5), 161–168.
Wheeler, D. (1985). The utility of research. In T. A. Romberg (Ed.), Using research in the professional life of mathematics teachers (ICME 5) (pp. 8–15). Madison, WI: Wisconsin Center for Education Research, School of Education, University of Wisconsin.
Wittmann, E. C. (1989). The mathematical training of teachers from the point of view of education. Journal für Mathematik-Didaktik, 10, 291–308.
Wittmann, E. C. (1991). From inservice-courses to systematic cooperation between teachers and researchers. Zentralblatt für Didaktik der Mathematik, 23(5), 158–160.
References
Ball, D. L. (1988, April). Prospective teachers’ understanding of mathematics: What do they bring with them to teacher education? Paper presented at the annual meeting of the American Educational Research Association, New Orleans, LA.
Bauersfeld, H. (1988). Interaction, construction, and knowledge: Alternative perspectives for mathematics education. In D. Grouws, T. Cooney, & D. Jones (Eds.), Perspectives on research on effective mathematics teaching(pp. 27–46). Reston, VA: National Council of Teachers of Mathematics.
Bauersfeld, H. (1980). Hidden dimensions in the so-called reality of a mathematics classroom. Educational Studies in Mathematics, 11, 23–41.
Begle, E. G. (1968). Curriculum research in mathematics. In H. J. Klausmeier & G. T. O’Hearn (Eds.), Research and development toward the improvement of education (pp. 44–48). Madison, WI: Dembar Educational Research Services.
Brophy, J. E. (1975, November). Reflections on research in elementary schools. Paper presented at the conference on research on teacher effects: An examination by decisionmakers and researchers, University of Texas, Austin, TX.
Brown, C. A. (1985). A study of the socialization to teaching of beginning secondary mathematics teachers. Unpublished doctoral dissertation, University of Georgia, Athens, GA.
Brown, S. I., Cooney, T. J., & Jones, D. (1990). Mathematics teacher education. In W. R. Houston, M. Haberman, & J. Sikula (Eds.), Handbook of research on teacher education (pp. 639–656). New York: Macmillan.
Brownell, W. A. (1945). When is arithmetic meaningful. Journal of Educational Research, 38, 481–498.
Bush, W. (1983). Preservice secondary mathematics teachers’ knowledge about teaching mathematics and decision-making during teacher training (Doctoral dissertation, University of Georgia, 1982). Dissertation Abstracts International, 43, 2264A.
Cobb, P. (1986). Contexts, goals, beliefs, and learning mathematics. For the learning of mathematics. 6(2), 2–9.
Cooney, T. (in press) Teacher education as an exercise in adaptation. In D. Aichele (Ed.), NCTM yearbook on teacher education. Reston, VA: National Council of Teachers of Mathematics.
Cooney, T. (1992). A survey of secondary teachers’ evaluation practices in Georgia. Athens, GA: University of Georgia.
Davis, R. B. (1967). The changing curriculum: Mathematics. Washington, DC: Association for Supervision and Curriculum Development, NEA.
Eisenberg, T. A. (1977). Begle revisited: Teacher knowledge and students achievement in algebra. Journal for Research in Mathematics Education, 8, 216–222.
Feyerabend, P. (1988). Against method. New York: Verso.
Fisher, L. C. (1988). Strategies used by secondary mathematics teachers to solve proportion problems. Journal for Research in Mathematics Education, 19, 157–168.
Gage, N. (1972). Teacher effectiveness and teacher education: The search for a scientific basis. Palo Alto, CA: Pacific Books.
Gallagher, J. J. (1970). Three studies of the classroom. In J. J. Gallagher, G. A. Nuthall, & B. Rosenshine (Eds.), Classroom obsservation. American Educational Research Association Monogaraph Series on Curriculum Evaluation, Monograph No. 6. Chicago: Rand McNally.
Glasersfeld, E. von (1987). The construction of knowledge. Seaside, CA: Intersystems Publications.
Glasersfeld, E. von (1989). Constructivism in education. In T. Husen & N. Postlethwaite (Eds.), International encyclopedia of education (pp. 162–163). (Supplementary Vol.). Oxford: Pergamon.
Graeber, A., Tirosh, D., & Glover, R. (1986). Preservice teachers’ beliefs and performance on measurement and partitive division problems. In G. Lappan & R. Even (Eds.), Proceedings of the Eighth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 262–267). East Lansing, MI: Michigan State University.
Green, T. (1971). The activities of teaching. New York: McGraw-Hill.
Helms, J. M. (1989). Preservice secondary mathematics teachers’ beliefs about mathematics and the teaching of mathematics: Two case studies. Unpublished doctoral dissertation, University of Georgia, Athens, GA.
Henderson, E. M. (1988) Preservice secondary mathematics teachers’ geometric thinking and their flexibiltiy in teaching geometry. Unpublished doctoral dissertation, University of Georgia, Athens, GA.
Hersh, R. (1986). Some proposals for revising the philosophy of mathematics. In T. Tymoczko (Ed.), New directions in the philosophy of mathematics (pp. 9–28). Boston: Birkhauser.
Highet, G. (1950). The art of teaching. New York: Vintage Books.
Jones, D. L. (1990). A study of the belief systems of two beginning middle school mathematics teachers. Unpublished doctoral dissertation, University of Georgia, Athens, GA.
Kesler, T. (1985). Teachers’ instructional behavior related to their conceptions of teaching and mathematics and their level of dogmatism: Four case studies. Unpublished doctoral dissertation, University of Georgia, Athens, GA.
Kuhn, T. (1970). The structure of scientific revolutions (2nd ed.). Chicago: University of Chicago Press.
Lappan, G., Fitzgerald, W., Phillips, E., Winter, M. J., Lanier, P., Madsen-Nason, A., Even, R., Lee, B., Smith, J., & Weinberg, D. (1988). The middle grades mathematics project. The challenge: Good mathematics — taught well (Final report to the National Science Foundation for Grant #MDR8318218). East Lansing, MI: Michigan State University.
Lortie, D. C. (1975). School teacher: A sociological study. Chicago: University of Chicago Press.
Mayberry, J. (1983). The Van Hiele levels of geometric thought in undergraduate preservice teachers. Journal for Research in Mathematics Education, 14, 50–59.
McGalliard, W. (1983). Selected factors in the conceptual systems of geometry teachers: Four case studies (Doctoral Dissertation, University of Georgia, 1982). Dissertation Abstracts International, 44, 1364A.
Mitroff, I., & Kilmann, R. (1978). Methodological approaches to social sciences. San Francisco: Jossey-Bass.
National Council of Teachers of Mathematics. (1989). Curriculum and evaluation stan?dards for school mathematics teaching. Reston, VA: National Council of Teachers of Mathematics.
National Council Of Teachers Of Mathematics. (1991). Professional standards for the teaching of mathematics. Reston, VA: National Council of Teachers of Mathematics.
Owens, J. (1987). A sudy of four preservice secondary mathematics teachers’ constructs of mathematics and mathematics teaching. Unpublished doctoral dissertation, University of Georgia, Athens, GA.
Perry, W. (1970). Forms of intellectual and ethical development in the college years: A scheme. New York: Holt, Rinehart, & Winston.
Peterson, P. L. (1988). Teaching for higher-order thinking in mathematics: The challenge for the next decade. In D. Grouws, T. Cooney, & D. Jones (Eds.), Perspectives on research on effective mathematics teaching (pp. 2–26). Reston, VA: National Council of Teachers of Mathematics.
Peterson, P. L., & Clark, C. M. (1978) Teachers’ reports of their cognitive processes during teaching. American Educational Research Journal, 15, 555–565.
Rokeach, M. (1960) The open and closed mind. New York: Basic Books.
Rosenshine, B., & Furst, N. (1973). The use of direct observation to study teaching. In R. Travers (Ed.), Second handbook of research on teaching (pp. 122–183). Chicago, IL: Rand McNally.
Seiler, T., & Wannenmacher, W. (Eds.). (1983). Concept development and the development of word meaning. New York: Springer.
Seiler, T. B. (1984). Was ist eine “konzeptuell akzeptable Kognitionstheorie”? Anmerkungen zu den Ausführungen von Theo Herrmann: Über begriffliche Schwächen kognitivistischer Kognitionstheorien. Sprache & Kognition, 2, 87–101.
Snow, R. E. (1983). Theory construction for research on teaching. In R. W. Travers (Ed.), Second handbook of research on teaching (pp. 77–112.). Chicago, IL: Rand McNally.
Thompson, A. (1982). Teachers’ conceptions of mathematics and mathematics teaching: Three case studies. Unpublished doctoral dissertation. University of Georgia. Athens, GA.
Thompson, A. (1992). Teachers’ beliefs and conceptions: A synthesis of the research. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 127–146). New York: MacMillan.
Weiss, I. R., Boyd, S. E., & Hessling, P. A. (1990). A look at exemplary NSF teacher enhancement projects. Chapel Hill, NC: Horizon Research.
Wheeler, M. M., & Feghali, I. (1983). Much ado about nothing: Preservice elementary school teachers’ concept of zero. Journal for Research in Mathematics Education, 14, 147–155.
Wilson, M. R. (1991). A study of three preservice secondary mathematics teacher’s knowledge and beliefs about mathematical functions. Unpublished doctoral dissertation, University of Georgia, Athens, GA.
Wittmann, E. (1992). One source of the broadcast metaphor: Mathematical formalism. In F. Seeger & H. Steinbring (Eds.), The dialogue between theory and practice in mathematics education: Overcoming the broadcast metaphor. Proceedings of the Fourth Conference on Systematic Cooperation between Theory and Practice in Mathematics Education (SCTP). Brakel, Germany (pp. 111–119). IDM Materialien und Studien 38. Bielefeld: Universität Bielefeld.
Yackel, E., Cobb, P., Wood, T., Wheatley, G., & Merkel, G. (1990). The importance of social interaction in children’s construction of mathematical knowledge. In T. J. Cooney & C. R. Hirsch (Eds.), Teaching and learning in the 1990s (pp. 12–21). Reston, VA: National Council of Teachers of Mathematics.
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Biehler, R. (1994). Teacher Education and Research on Teaching. In: Biehler, R., Scholz, R.W., Strässer, R., Winkelmann, B. (eds) Didactics of Mathematics as a Scientific Discipline. Mathematics Education Library, vol 13. Springer, Dordrecht. https://doi.org/10.1007/0-306-47204-X_3
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