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Bibliography
D’Ambrosio, U.: 1979, ‘Overall Goals and Objectives for Mathematical Education’, New Trends in Mathematics Teaching IV, UNESCO, Paris, pp. 180–198.
Avital, S. and S. Shettleworth: 1968, Objectives for Mathematics Learning, Ontario Institute for Studies in Education, Bulletin No. 3.
Bauer, J.L.: 1978, Mathematische Fähigkeiten, Paderborn UTB Schöningh.
Begle, E.G.: 1972, Teacher Knowledge and Student Achievement in Algebra, SMSG Report, No. 9.
Bender, P. and A. Schreiber: 1980, ‘The Principle of Operative Concept Formation in Geometry Teaching’, Educational Studies in Mathematics 11 (1980), 59–90.
Bigalke, H.: 1976, ‚Zur gesellschaftlichen Relevanz der Mathematik im Schulunterricht — Aufgaben und Ziele des Mathematikunterrichts‘, Zentralblatt für Didaktik der Mathematik 8 (1976), 25–34.
Blum, W.: 1975, ‚Ein Grundkurs in Analysis‘, Didaktik der Mathematik 3 (1975), 163–164.
Blum, W. and A. Kirsch (eds.): 1979, ‚Anschaulichkeit und Strenge in der Analysis‘, Der Mathematikunterricht 25, Heft 3.
Borovcnik, M. et al.: 1981, Mathematik in der beruflichen Praxis von Abiturienten, Hölder-Pichler-Tempsky, Wien.
Brauer, W. et al.: 1976, ‚Zielsetzungen und Inhalte des Informatikunterrichts‘, Zentralblatt für Didaktik der Mathematik 8 (1976), 35–46.
Bruner, J.: 1969, The Process of Education, Harvard University Press, Cambridge, Mass.
Burkhardt, H.: 1979, ‘Learning to Use Mathematics’, Bulletin of the Institute of Mathematics and its Application 15, 238–243.
Burkhardt, H.: 1981, The Real World and Mathematics, Blackie, Glasgow.
Cambridge Conference on School Mathematics: 1963, Goals for School Mathematics, Houghton Mifflin Co., Boston.
Committee of Inquiry into the Teaching of Mathematics in Schools: 1982, Mathematics Counts, (the ‘Cockcroft Report’), Her Majesty’s Stationery Office, London.
Conference Board of the Mathematical Sciences, National Advisory Committee on Mathematical Education: 1975, Overview and Analysis of School Mathematics Grades K-12, Washington.
Courant, R. and H. Robbins: 1941, What is Mathematics?, Oxford University Press, New York.
Coxeter, H.S.M.: 1981, Unvergängliche Geometrie, Birkhäuser, Basel.
Damerow, P.: 1980, ‚Wieviel Mathematik braucht ein Hauptschüler?‘, Mathematica Didactica 3 (1980), 69–85.
Davydov, W.: 1977, Arten der Verallgemeinerung im Unterricht, Volk und Wissen, Berlin.
Department of Education and Science: 1979, Aspects of Secondary Education in England, Her Majesty’s Stationery Office, London.
Department of Education and Science: 1982, Mathematics in the Sixth Form, Her Majesty’s Stationery Office, London.
Dieudonné, J.A.: 1961, ‘New Thinking in School Mathematics’, New Thinking in School Mathematics, Organisation for Economic Co-operation and Development, Paris.
Dieudonné, J.A.: 1970, ‘The Work of Nicholas Bourbaki’, Amer. Math. Monthly 77 (1970), 134–145.
Dörfler, W.: 1983, ‚Entwicklung formaler Qualifikationen im Mathematikunterricht, Teil I: Theoretische Grundlagen‘, in Beiträge zum Mathematikunterricht 1983, Franzbecker, Bad Salzdetfurth.
Dörfler, W. and R. Fischer (eds.): 1979, Beweisen im Mathematikunterricht, Hölder-Pichler-Tempsky, Wien.
Dörfler, W. and R. Fischer: (eds.): 1981, Stochastik im Schulunterricht, Hölder-Pichler-Tempsky, Wien.
Dörfler, W. et al: 1981, Mathematikunterricht und Qualifizierung, Hölder-Pichler-Tempsky, Wien.
Dormolen, J. van: 1975, ‘Mathematics Learning and Learning Mathematics’, Schriftenreihe des Institut für Didaktik der Mathematik, Bielefeld, No. 6, pp. 219–240.
Fletcher, T.J.: 1975, ‘Is the Teacher of Mathematics a Mathematician or Not?’, Schriftenreihe des Instituts für Didaktik der Mathematik, Bielefeld, No. 6, 203–218.
Freudenthal, H.: 1973, Mathematics as an Educational Task, Reidel, Dordrecht.
Freudenthal, H.: 1978, Weeding and Sowing, Preface to a Science of Mathematical Education, Reidel, Dordrecht.
Gårding, L.: 1977, Encounter with Mathematics, Springer, New York.
Ginsburg, H.: 1977, Children’s Arithmetic: The Learning Process, New York.
Griffiths, H.B. and A.G. Howson: 1974, Mathematics: Curricula and Society, Cambridge University Press.
Hart, K.: 1981, Children’s Understanding of Mathematics: 11–16, Murray, London.
Howson, A.G.: 1975, ‘University Courses for Future Teachers’, Educational Studies in Mathematics 6, 273–292.
Howson, A.G., C. Keitel, and J. Kilpatrick: 1981, Curriculum Development in Mathematics, Cambridge University Press.
Institut für Didaktik der Mathematik Bielefeld: 1977, Informatik im Unterricht der Sekundarstufe II, Schriftenreihe Heft 15, 16, Bielefeld.
Institut für Didaktik der Mathematik Bielefeld: 1978, Lernschwierigkeiten im Mathematikunterricht, Schriftenreihe Heft 18, Bielefeld.
Institut für Didaktik der Mathematik Bielefeld: 1979, Co-operation Between Mathematics and Science Teachers, Materialien und Studien, Heft 16, Bielefeld.
Journal of Mathematical Modelling for Teachers (1978–1981), Cranfield Institute for Science and Technology and The Open University.
Kirsch, A.: 1979, ‚Beispiele für pramathematische Beweise‘, in Beweisen im Mathematikunterricht, Hölder-Pichler-Tempsky, Wien.
Kütting, H.: 1981, Didaktik der Wahrscheinlichkeitsrechnung, Freiburg, Herder.
Lakatos, I.: 1976, Proofs and Refutations. The Life of Mathematical Discovery, University Press, Cambridge.
Lauter, J.: 1964, ‚Aufbau der elementaren Gleichungslehre nach logischen und mengentheoretischen Gesichtspunkten‘, Der Mathematikunterricht 10 (1964), 59–119.
Lenné, H.: 1969, Analyse der Mathematik-Didaktik in Deutschland, Klett, Stuttgart.
Lietzmann, W.: 1953, Wo steckt der Fehler?, Teubner, Stuttgart.
McLone, R.R.: 1973, The Training of Mathematicians, Social Science Research Council, London.
McLone, R.R.: 1979, ‘Teaching Mathematical Modelling’, Bulletin of the Institute of Mathematics and its Applications 15, 244–246.
Mormann, Th. (1981) Argumentieren, Begründen, Verallgemeinern, Scriptor, Königstein.
Organisation for Economic Co-operation and Development: 1961, New Thinking in School Mathematics, Paris.
Ormell, C: 1975–1978, Mathematics Applicable, A Schools Council Mathematics Project, Heinemann Educational Books, London.
Otte, M: 1975, ‚Die didaktischen Systeme von V.V. Davidov/D.B. Elkonin einerseits und L.V. Zankov andererseits‘, Educational Studies in Mathematics 6 (1975), 475–497.
Otte, M.: 1979, ‘The Education and Professional Life of Mathematics Teachers’, New Trends in Mathematics Teaching IV, UNESCO, Paris, pp. 107–133.
Papert, S.: 1980, Mindstorms: Children, Computer and Powerful Ideas, Basic Books, New York.
Peschek, W.: 1983, ‚Entwicklung formaler Qualifikationen im Mathematikunterricht, Teil II: Schülerinterviews zum Verallgemeinern‘, in Beiträge zum Mathematikunterricht 1983, Franzbecker, Bad Salzdetfurth.
Pollak, H.O.: 1979, ‘The Interaction Between Mathematics and other School Subjects’, New Trends in Mathematics Teaching IV, UNESCO, Paris, 232–248.
Proceedings of the University Mathematics Teaching Conference 1978: 1979, Assessment and Service Teaching, Shell Centre for Mathematical Education, Nottingham.
Rademacher, H. and Toeplitz, O.: 1968, Von Zahlen und Figuren, Springer, Berlin.
Rang-Dudzik, B.: 1981, ‘Qualitative and Quantitative Aspects of Curricula in Prussian Grammar Schools During the Late 18th and Early 19th Centuries and Their Relation to the Development of the Sciences’, in Epistemological and Social Problems of the Sciences in the Early Nineteenth Century (ed. H.N. Jahnke and M. Otte), Reidel, Dordrecht.
Schmidt, S. and W. Weiser: 1982, ‚Zählen und Zahlverständnis bei Schulanfängern‘, Journal für Mathematikdidaktik 3 (1982), 227–236.
Semadeni, Z.: (undated), The Concept of Premathematics as a Theoretical Background for Primary Mathematics Teaching, Polish Academy of Sciences, Warsaw.
Steen, L.A. (ed.): 1978, Mathematics Today, Springer, New York.
Teaching Mathematics and Its Applications: 1982 et seq., The Institute of Mathematics and Its Applications.
Tuckey, J.W.: 1977, Exploratory Data Analysis, New York, Addison-Wesley.
University of Bath School of Mathematics: 1981, Mathematics in Employment 16–18, A report commissioned for the Committee of Inquiry into the Teaching of Mathematics in Schools (the ‘Cockcroft Report’).
Wäsche, H.: 1948, ‚Logische Begründung der Lehre von den Gleichungen und Ungleichungen‘, Mathematikunterricht 10 (1964).
Whitehead, A.N.: 1948, The Aims of Education and Other Essays, New American Library, New York.
Wilson, J.W.: 1971, ‘Evaluation of Learning in Secondary School Mathematics’, in Bloom-Hasting-Madaus (ed.), Handbook on Formative and Summative Evaluation of Student Learning, New York.
Winter, H.: 1975, ‚Allgemeine Lernziele für den Mathematikunterricht‘, Zentralblatt für Didaktik der Mathematik 17 (1975), 106–116.
Wittmann, E.: 1981, Grundfragen des Mathematikunterrichts, Vieweg, Braunschweig.
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Dörfler, W., Mclone, R.R. (1986). Mathematics as a School Subject. In: Christiansen, B., Howson, A.G., Otte, M. (eds) Perspectives on Mathematics Education. Mathematics Education Library, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4504-3_2
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