PME conferences

Contact for PME

A

  

Alcock L., Simpson A. (1999) The Rigour Prefix. PME XXIII, Volume 2, pp. 17-24.

    Antonini S. (2001) Negation in mathematics: obstacles emerging from an exploratory study, PME XXV, Vol.2, pp.49-56
    Antonini, S. & Mariotti, M. A. (2006) Reasoning in an absurd world: Difficulties with proof by contradiction PME XXX Vol. 2, p. 65

Arzarello F., Micheletti C., Olivero F., Robutti O. (1998) A model for analysing the transition to formal proofs in geometry. PME XXII, Volume 2, pp.24-31.

    Arzarello F., Micheletti C., Olivero F., Robutti O. (1998) Dragging in Cabri and modalities transition from conjectures to proofs in geometry. PME XXII, Volume 2, pp. 32-39.
    Arzarello F. (2000) Inside and outside: Space, time and language in proof production. PME XXIV Plenary Lecture. Vol. 1, p. 23-38.

Ayalon, M. & Even, R. (2006) Deductive reasoning: Different conceptions and approaches PME XXX Vol. 2, p. 89

B

Balacheff N. (1978) Use of graphs for classification of student demonstrations. PME II, pp.21-35

Balacheff N. (1980) The sense of mathematical explanation for 1-year-old pupils (with respect to a combinatorial problem). PME IV, pp.193-197.

Balacheff N. (1981) Une approche experimentale pour l'etude des processus de résolution de problèmes. PME V, pp.278-283.

Baldino R. (1998) Dialectical proof: Should we teach it to physics students. PME XXII, Volume 2, pp.48-55.

  Barkai, R., Tsamir P., Tirosh D., Dreyfus T. (2002) Proving or refuting arithmetic claims: The case of elementary school teachers (Vol. 2, pp. 57-64) PME XVI

Barnard T. (1996) The Impact of "Meaning" on Students' Ability to Negate Statements. PME XIX, volume 2, pp.3-10.

Barnard T., Tall D. (1997) Cognitive units, connections and mathematical proofs. PME XXI, volume 2, pp.41-48.

Bartolini Bussi M. (1993) Geometrical Proofs and Mathematical Machines: An Exploratory Study. PME XVII, volume 2, pp.97-104.

    Baturo A. R. (2001) Conflict between perception, cognition and validation as year 12 and university students analyse the probability of an event, PME XXV, Vol.2, pp.113-120

Becker G. (1982) Difficulties and errors in geometric proofs by grade 7 pupils. PME VI, pp.123-127.

Becker G. (1983) Can we teach heuristic strategies? PME VII, pp. 247-252.

Bell A. (1978). The learning of process aspects of mathematics. PME II, pp. 37-67.

Boero P., Garuti R. (1994) Approaching rational geometry: from physical relationships to conditional statements. PME XVII.

Boero P., Chiapini G., Garutti R., Sibilla. A. (1995) Towards Statements and Proofs in Elementary Arithmetic: An Exploratory Study about the Role of Teachers and the Behaviour of Students. PME XIX, pp**.

Boero P., Garuti R., Mariotti M. A. (1996) Some dynamic mental processes underlying producing and proving conjectures. PME XX. ***

Boero P., Garuti R., Lemut E., Mariotti M. A. (1996) Challenging the traditional school approach to theorems: a hypothesis about the cognitive unity of theorems. PME XX. ***

Boero P., Garuti R., Lemut E. (1999) About the generation of conditionality of statements and its links with proving. PME XXIII, Volume 2, pp. 137-44.

    Boero, P. (2006) Habermas’ theory of rationality as a comprehensive frame for conjecturing and proving in school PME XXX Vol. 2, p. 185
    Breiteig, T. & Grevholm, B. (2006) The transition from arithmetic to algebra: to reason, explain, argue, generalize and justify PME XXX Vol. 2, p. 225

Brown L., Coles A. (1997) The story of Sarah: seing the general in the particular? PME XXI, Volume 2, pp. 113-120.

C

  Cañadas, C., Gómez P., Castro E. (2002) Didactical reflections about some proofs of the Pythagorean proposition (Vol. 2, pp. 169-176) PME XVI
  Chen, I., Lin F. (2002) The evolution of a student teacher's pedagogical views about teaching mathematics proof (Vol. 2, pp. 225-232) PME XVI
    Chin E.-T., Tall D. (2000) Making, having and copressing formal mathematical concepts. PME XXIV Research Reports. Vol. 2 p. 177-184

Cifarelli V. (1999) Abductive inference: Connections between problem posing and solving. PME XXIII, Volume 2, pp. 217-224.

Clement J. (1983) Use of analogies and spatial transformations by experts in solving mathematics problems. PME-NA V, Volume 2, pp. 101-111.

Csí-kos C. A. (1999) Measuring students' proving ability by means of Harel and Sowder's proof-categorization. PME XXIII, Volume 2, pp. 233-240.

D

Dann E., Pantozzi R., Steencken E. (1995) "Unconsciously learning something:" A focus on teacher questioning. PME NA VII, Volume 2., pp. 276-284.

de Villiers M. (1997) Approaching geometry theorems in contexts: from history and epistemology to cognition, a reaction. PME XXI, pp.196-198.

de Villiers M. (1997) A Fibonacci Generalization: A Lakatosian Example. PME XXI (Vol.1 p.269). Lahti, Finland.

Doerr H. (1995) Evidence and proof: Explaining vector relationships. PME-NA XVII, Volume 1, pp. 117-122.

Dörfler W. (1983) Models of the process of mathematical generalization. PME VII, pp. 57-62.

Douek N. (1999) Argumentative aspects of proving: Analysis of someundergraduate mathematics students' performances. PME XXIII, Volume 2, pp. 273-280.
    Douek N., Scali E. (2000) About argumentation and conceptualization. PME XXIV Research Reports. Vol. 2, p. 257-264.
  Douek, N. (2002) Context, complexity and argumentation (Vol. 2, pp. 297-304) PME XVI

 

 

Douek, N. (2006) Vygotsky’s everyday concepts/scientific concepts dialectics in school context: A case study PME XXX Vol. 2, p. 449

E

    Ebersbach, M. & Resing, W. C. M. (2006) Reasoning about non-linearity in 6- to 9-year-olds: the role of task presentation PME XXX Vol. 3, p. 9

Ernest P. (1995) The mythic quest of the hero: A semiotic analysis of mathematical proof. PME XIX, Volume 1, p. 240).

F

    Ferrari, P. L. (2006)From verbal texts to symbolic expressions: A semiotic approach to early algebra PME XXX Vol. 3, p. 73
    Ferrando, E.(2006) The abductive system PME XXX Vol. 3, p. 57

Finlow-Bates K., Lerman S., Morgan C. (1993) A survey of concepts of proof held by first year mathematics students. PME XVII, Volume 1, pp. 252-259.

Fishbeim E., Kedem I. (1982) Proof and certitude in the development of mathematical thinking. PME VI, pp.128-131.

Freitas J., Maury S. (1995) A study of types of proofs produced by students of the secondary school on the domain of whole numbers. PME XIX, Volume 1, p. 201.

  Fujita, T., Jones, K. (2002) The bridge between practical and deductive geometry: Developingthe 'geometrical eye' (Vol. 2, pp. 384-391) PME XVI

Furinghetti F., Paola D. (1991) On some obstacles in understanding mathematical text. PME XV, Volume 2, pp. 56-63.

Furinghetti F., Paola D. (1995) A different approach to algebra and proof: Behaviors observed in classroom. PME XIX, Volume 1, p. 202.

Furinghetti F., Paola D. (1997) Shadows on proof. PME XXI, Volume 2, pp. 273-280.

Furinghetti F., Paola D. (1998) Context influence on mathematical reasoning. PME XXII, Volume 2, pp. 313-320.

  Furinghetti, F., Domingo P. (2002) Defining within a dynamic geometry environment: notes from the classroom (Vol. 2, pp. 392-399) PME XVI

Fuys D. (1984) Van Hiele levels of thinking of sixth graders. PME NA VII, pp.113-119.

G

Galindo E., Birgisson G., Cenet J.-M., Krumpe N., Lutz M. (1997). The development of students' notions of proof in high school classes using dynamic geometry software. PME NA XIX, pp.207-214.

Gardiner J., Hudson B. (1998) The evolution of pupils' ideas of construction and proof using hand-held dynamic geometry technology. PME XXII, Volume 2, pp. 337-344.

Garuti R., Boero P., Lemut E. (1998) Cognitive unity of theorems and difficulty of proof. PME XXII, Volume 2, pp. 345-352.

  Garuti, R., Boero, P. (2002) Interiorisation of forms of argumentation: A case study (Vol. 2, pp. 408-415) PME XVI

Geeslin W. (1995) College students' early ideas about mathematical proof. PME NA VII, Volume 2., p. 67.

Godino J. D., Recio A. M. (1997) Meaning of proofs in mathematics education. PME XXI, Volume 2 pp. 313-320.

H

Haddas N., Dreyfus T., Friedlander A. (1983) Euclidean geometry for average ability children. PME VII, pp. 253-258.

Haddas N., Herschkowitz R. (1998) Proof in geometry as an explanatory and convincing tool. PME XXII, Volume 3, pp. 25-32

Haddas N., Hershkowitz R. (1999) The role of uncertainty in constructing and proving in computerized environment. PME XXIII, Volume 3, pp. 57-64.

  Haddas, N. (2002) Activity analyses at the service of task design (Vol. 3, pp. 49-56) PME XVI

Hanna G. (1989) Proofs that prove and proofs that explain. PME XX, Volume 2, 45-51.

Hanna G. (1996) The ongoing value of proof. PME XX, Volume 1. Valencia, Spain.

Hanna G., Jahnke N. (1999) Using arguments from physics to promote understanding of mathematical proof. PME XXIII, Volume 3, pp. 73-80.

  Harel G. (1997) A reaction to "approaching geometry in contexts: from history and epistemology to cognition", by M. A. Mariotti, M. G. Bartolini Bussi, P. Boero, F. Ferri, R. Garutti". PME XXI (unpublished contribution)
    Harada K., Gallou-Dumiel E., Nohda N. (2000) The role of figures in geometrical proof-probel solving: Students' cognitions of geometrical figures in france and Japan. PME XXIV Research Reports. Vol. 3 p. 25-32

Heid M. K., Blume G., Flanagan K., Kerr K., Marshall J., Iseri L. (1997). Conjecturing and representational style in CAS-assisted mathematical problem solving. PME NA XIX, pp. 585-592.

  Heinze, A. (2002) "...because a square is not a rectangle" - Student's knowledge of simple geometrical concepts when starting to learn proof (Vol. 3, pp. 81-88) PME XVI
    Heinze, A. & Reiss, K. & Groß, C. (2006) Learning to prove with heuristic worked-out examples PME XXX Vol. 3, p. 273

Hoyles C., Healy L. (1999) Linking informal argumentation with formal proof through computer-integrated teaching experiments. PME XXIII, Volume 3, pp. 105-112.

I

J

K

Kieren T. (1983) Axioms and intuition in mathematical knowledge building. PME-NA V, Volume 2, pp. 67-73.

    Knapp, J. & Weber, K. (2006) Reconceiving strategic knowledge in proving from the student’s perspective PME XXX Vol. 3, p. 449
  Knipping C. (2001) Towards a comparative analysis of proof teaching, PME XXV, Vol.3, pp.249-256
    Knuth E., Elliott R. (1997). Preservice secondary mathematics teachers' interpretations of mathematical proof. PME NA XIX, pp. 545-551.
    Krummheuer G. (2000) Narrative elements in mathematical argumentation in primary education. PME XXIV Research Reports. Vol. 3 p. 175-182.
    Küchemann D., Hoyles C. (2001) Investigating factors that influence students' mathematical reasoning, PME XXV, Vol.3, pp. 257-264

Küchemann, D., Hoyles, C. (2002) Students' understanding of a logical implication and its converse (Vol. 3, pp. 241-248) PME XVI

L

    Lee, Kyung Hwa (2005) Mathematically gifted students' geometrical reasoning and informal proof, PME XXIX, vol. 3, 241-248
  Leron U. (1982) How communicative is a proof? PME VI, pp.132-136.

 

Lin, Fou-Lai (2005) Modeling students’ learning on mathematical Proof and refutation, PME XXIX, vol.1, pp. 3-18.

M

Mariotti M. A., Bartolini Bussi M. G., Boero P., Franca Ferri F., Rossella Garuti M. R. (1997) Approaching Geometry theorems in contexts: from history and epistemology to cognition. PME XXI, pp.180-195.

Mariotti M. A., Maracci M. (1999) Conjecturing and proving in problem solving situations. PME XXIII, Volume 3, pp.265-272.

    Mariotti M.A., Cerulli M. (2001) Semiotic mediation for algebra teaching and learning, PME XXV, Vol. 3, pp. 343-349

Mikusa M. (1995) How students establish the truth of their ideas in school geometry. PME-NA XVII, Volume 1, pp. 129-133.

  Miyakawa, T. (2002) Relation between proof and conception: The case of proof for the sum of two even numbers (Vol. 3, pp. 353-360) PME XVI
    Miyazaki M. (2000) What are essential to applay the "discovery" function of proof in lower secondary school mathematics? PME XXIV Research Reports. Vol. 4 p. 1-7.

Moc Ida Ah Chee (1997) A hierarchy of students' formulation of an explanation. PME XXI (Vol.3 pp. 248-255). Lahti, Finland.

    Mogetta C. (2001) Argumentative processes in problem solving situations: the mediation of tools, PME XXV, Vol.3, pp. 375-282
    Monoyiou, A. & Xistouri, X. & Philippou, G. (2006) Primary students’ reasoning in problem solving and teachers’ evaluation of their arguments PME XXX Vol. 4, p. 177
    Morris A., Sloutsky V. (1995) Development of algebraic reasoning in children and adolescents: A cross-cultural and cross-curricular perspective. PME NA VII, Volume 2., pp.17-23.
    Morselli, F. (2006) Use of examples in conjecturing and proving: an exploratory study PME XXX Vol. 4, p. 185

Murphy, C. (2006) Embodiment and reasoning in children’s invented calculation strategies PME XXX Vol. 4, p. 217

N

Nardi E. (1996) Tensions in novice mathematicians with respect to abstraction. PME XX, Volume 4, pp. 51-58.

O

    Okazaki M., Iwasaki H. (2000) Geometric construction as threshol of proof: the figure as a cognitive tool for justification. PME XXIV Short Oral Communication. Vol.1 p. 180-183.
    Olivero F., Robutti O. (2001) measure in Cabri as bridge between perception and theory, PME XXV, Vol. 4, pp. 9-16

Ouvrier-Buffet, C. (2006) Classification activities and definition construction at the elementary level PME XXX Vol. 4, p. 297

P

    Pandiscio E. A. (2001) Exploring the link between preservice teachers' conception of proof and the use of dynamic geometry software PME XXV, Vol. 1, p. 353
  Pedemonte B. (2001) Some cognitive aspects of the relationship between argumentation and proof in mathematics, PME XXV, Vol.4, pp.33-40

Pehkonen L. (1999) Gender differences in primary pupils' mathematical argumentation. PME XXIII, Voluime 4, pp.41-48.

Pimm D. (1983) Against generalization: Mathematics, students, and ulterior motives. PME VII, pp. 52-56.

Potari D., Triadafillidis T. A. (1997) Studying children's argumentation by incorporating different representational media. PME XXI, Volume 4, pp. 230-237.

Q

  

R

Reed B. S. (1995) Proof in the problem solving context: How students use the resources at their disposal. PME NA VII, Volume 1., p. 372.

Reid D. (1997). Jill's use of deductive reasoning: A case study from grade 10. PME NA XIX, p. 667.

Reid D. A. (1995) Proving to explain. PME VII, Volume 3, pp. 137-143.

Reid D. A. (1997) Constraints and opportunities in teaching proving. PME XXI, Volume 4, pp. 49-55.

Reid D. A. , Dobbin, J. (1998) Why is proof by contradiction difficult? PME XXII, Volume 4, pp. 41-48.

  Reid, D. (2002) Describing young children's deductive reasoning (Vol. 4, pp. 105-112) PME XVI
    Reiss K., Klieme E., Heinze A. (2001) Prerequisites for the understanding of proofs in the geometry classroom, PME XXV, Vol.4, pp. 97-104
  Reiss, K., Hellmich, F., Reiss, M. (2002) Reasoning and proof in geometry: Prerequisites of knowledge acquisition in secondary school students (Vol. 4, pp. 113-120) PME XVI
    Robotti E. (2001) Verbalization as mediator between figural and theoretical aspects, PME XXV, Vol.4, pp. 105-112
    Rogalski J., Rogalski M. (2001) How do graduate mathematics students evaluate assertions with a false premise? PME XXV, Vol.4, pp. 113-120
    Rodríguez, F. & Gutiérrez, A. (2006) Analysis of proofs produced by university mathematics students, and the influence of using Cabri software PME XXX Vol. 4, p. 433
    Rongjin Huang (2005) Verification or proof: justification of Pythagoras’ theorem in chinese mathematics classrooms, PME XXIX, vol. 3, 161-168

Rowland T. (1998) Conviction, explanation and generic examples. PME XXII, Volume 4, pp. 65-72.

S

  Sacristán, A., Sánchez, E. (2002) Processes of proof with the use of technology: Discovery, generalization and validation in a computer microworld (Vol. 4, pp. 169-176) PME XVI
    Saundry, C. & Nicol, C. (2006) Drawing as problem-solving: Young children’s mathematical reasoning through pictures PME XXX Vol. 5, p. 57

Schoenfeld A. (1982) Psychological factors affecting students' performance on geometry problems. PME-NA IV, pp. 168-174.

    Schwarz, B. & Hershkowitz, R. & Azmon, S. (2006) The role of the teacher in turning claims to arguments PME XXX Vol. 5, p. 65
    Sekiguchi Y. (2000) A teaching experiment on mathematical proof: roles of methafor and externalization.PME XXIV Research Reports. Vol. 4 p. 129-136.
    Shumway R. (1983) Learning mathematics and negative instances. PME-NA V, Volume 2, pp. 85-91.
    Sierpinska A., Nnadozie A. (2001) Methodological problems in analyzing data from a small scale study on theoretical thinking in high achieving linear algebra students, PME XXV, Vol. 4, pp. 177-184
    Simon M. A. (2000) Reconsidering mathematical validation in the classroom . PME XXIV Research Reports. Vol. 4 p. 161-167.
    Solange de Silva M. (2001) Argumentation reasoning and mathematics proof, PME XXV, Vol. 1, p. 368
    Son, H.-C. & Lew, H.-C. (2006) Discovering a rule and its mathematical justification in modeling activities using spreadsheet PME XXX Vol. 5, p. 137
  Stylianides, A. J., Stylianides, G. J. & Philippou, G. N. (2005) Prospective teachers’understanding of proof: What if the truth set of an open sentence is Broader than that covered by the proof?, PME XXIX, vol. 4, pp 241-248
  Stylianides, G.J., & Silver, E.A.  (2004). Reasoning and proving in school mathematics curricula: An analytic framework for investigating the opportunities offered to students. PME NA XXVI,Vol. 2, pp. 611-619.
    Stylianides, G. J. & Stylianides, A. J. (2006) “Making proof central to pre-high school mathematics is an appropriate instructional goal”: Provable, refutable, or undecidable proposition? PME XXX Vol. 5, p.209

 

Stylianides, A. J. & Stylianides, G. J. (2006) Content knowledge for mathematics teaching: The case of reasoning and proving PME XXX Vol. 5, p. 201

T

Tall D. (1978) Generic thinking: A central topic for investigation. PME II, pp. 257-268.

Tall D. (1995) Cognitive growth in elementary and advanced mathematical thinking. PME XIX, Volume 1, pp. 61-75.

U

  

V

van Geel J., Schillemans E., Vermandel A. (1983) About the mental action leading from the special case to "the general case" (generalization: when, why and how?). PME VII, pp. 63-67.

    Vincent J., McCrae B. (2001) Mechanical linkages and the need for proof in secondary school geometry, PME XXV, Vol.4, pp. 367-374
  Vincent, J., Chick, H., McCrae, B. (2002) Mechanical linkages as bridges to deductive reasoning: a comparison of two environments (Vol. 4, pp. 313-320) PME XVI
    Vincent, J., Chick, H., McCrae, B. (2005) Argumentation profile charts as tools for analysing students’ argumentations, PME XXIX, vol. 4, 281-288

Vinner S. (1983) The notion of proof: Some aspects of students' views at the senior high level. PME VII, pp. 289-294.

W

Walen S., Anderson D. (1997). Pre-service teachers' validations of mathematical solutions. PME NA XIX, pp. 502-503.

    Waring S., Orton A., Roper T. (1998) An experiment in developing proof through pattern. PME XXII, Volume 4, pp. 161-168.
    Warren, E. (2006) Teacher actions that assist young students write generalizations in words and in symbols PME XXX Vol. 5, p. 377
    Williams J., Ryan J. (2001) Charting argumentation space in conceptual locales, PME XXV, Vol.4, pp. 423-430
    Wong K. (2001) Why and how to prove: the Pythagoras' theorem in two classrooms, PME XXV, Vol. 1, p. 380

Wu, C.-J. & Wong, W.- K. & Cheng, Y.-H.& Lien, Y.-W. (2006) Generating and evaluating geometry conjectures with self-directed experiments PME XXX Vol. 5, p.401

X

  

Y

    Yackel E. (1998) A study of argumentation in a second-grade mathematics classroom. PME XXII, Volume 4, pp. 209-216.
    Yackel E. (2001) Explanation, justification and argumentation in mathematics classrooms, PME XXV, Vol.1, pp.1-9
    Yevdokimov, O. (2006) Inquiry activities in a classroom: Extra-logical processes of illumination vs logical process of deductive and inductive reasoning. A case study PME XXX Vol. 5, p. 441

Yuli, T., Siswono, E.(2005) Student thinking strategies in reconstructing theorems, PME XXIX, vol. 4, 193-200

Z

Zack V. (1997) "You have to prove as wrong": Proof at the elementary school level. PME XXI, Volume 4, pp. 299-306.

  Zack, V. (2002) Learning from learners: robust counterarguments in fifth graders' talk about reasoning and proving (Vol. 4, pp. 433-441) PME XVI

Zaslavsky O., Ron G. (1998) Students'understanding of the role of counter-examples. PME XXII, Volume 4, pp. 225-232.