Advanced search
Publication Cover
International Journal of Mathematical Education in Science and Technology Volume 35, 2004 - Issue 5
Submit an article Journal homepage
897
Views
43
CrossRef citations to date
0
Altmetric
Original Articles

Using dynamic geometry to expand mathematics teachers’ understanding of proof

Michael De Villiers
Pages 703-724 | Received 06 Oct 2003, Published online: 20 Feb 2007

Citations (43)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (11)

Aehsan Haj-Yahya. (2022) Students' conceptions of the definitions of congruent and similar triangles. International Journal of Mathematical Education in Science and Technology 53:10, pages 2703-2727.
Read now
Ifunanya Ubah. (2022) Pre-service mathematics teachers’ semiotic transformation of similar triangles: Euclidean geometry. International Journal of Mathematical Education in Science and Technology 53:8, pages 2004-2025.
Read now
Simon B. Khoza. (2018) Can Teachers’ Reflections on Digital and Curriculum Resources Generate Lessons?. Africa Education Review 15:4, pages 20-35.
Read now
Vanda Santos, Pedro Quaresma, Milena Marić & Helena Campos. (2018) Web geometry laboratory: case studies in Portugal and Serbia. Interactive Learning Environments 26:1, pages 3-21.
Read now
Yılmaz Zengin. (2017) The effects of GeoGebra software on pre-service mathematics teachers’ attitudes and views toward proof and proving. International Journal of Mathematical Education in Science and Technology 48:7, pages 1002-1022.
Read now
Yılmaz Zengin & Enver Tatar. (2015) The teaching of polar coordinates with dynamic mathematics software. International Journal of Mathematical Education in Science and Technology 46:1, pages 127-139.
Read now
Kotaro Komatsu, Yosuke Tsujiyama & Aruta Sakamaki. (2014) Rethinking the discovery function of proof within the context of proofs and refutations. International Journal of Mathematical Education in Science and Technology 45:7, pages 1053-1067.
Read now
Anat Levav-Waynberg & Roza Leikin. (2012) Using Multiple Solution Tasks for the Evaluation of Students’ Problem-Solving Performance in Geometry. Canadian Journal of Science, Mathematics and Technology Education 12:4, pages 311-333.
Read now
CheryllE. Crowe & Xin Ma. (2010) Profiling student use of calculators in the learning of high school mathematics. Evaluation & Research in Education 23:3, pages 171-190.
Read now
U.I. Ogbonnaya. (2010) Improving the teaching and learning of parabolic functions by the use of information and communication technology (ICT). African Journal of Research in Mathematics, Science and Technology Education 14:1, pages 49-60.
Read now
Hasan Unal, Elizabeth Jakubowski & Darryl Corey. (2009) Differences in learning geometry among high and low spatial ability pre-service mathematics teachers. International Journal of Mathematical Education in Science and Technology 40:8, pages 997-1012.
Read now

Articles from other publishers (32)

Mduduzi Mbatha & Sarah Bansilal. (2023) Using the Van Hiele Theory to Explain Pre-Service Teachers’ Understanding of Similarity in Euclidean Geometry. Education Sciences 13:9, pages 861.
Crossref
Steven R. Jones. (2022) Multivariation and students’ multivariational reasoning. The Journal of Mathematical Behavior 67, pages 100991.
Crossref
Michael L. Winer & Michael T. Battista. (2022) Investigating Students’ Proof Reasoning: Analyzing Students’ Oral Proof Explanations and their Written Proofs in High School Geometry. International Electronic Journal of Mathematics Education 17:2, pages em0677.
Crossref
Umberto Dello Iacono. (2021) From Argumentation to Proof in Geometry Within a Collaborative Computer-Based Environment. Digital Experiences in Mathematics Education 7:3, pages 395-426.
Crossref
Sfiso Cebolenkosi Mahlaba. (2020) The State of South African Mathematics Education: Situating the Hidden Promise of Multiple-solution Tasks. Eurasia Journal of Mathematics, Science and Technology Education 16:12, pages em1921.
Crossref
Dragana Martinovic & Agida G. Manizade. (2020) Teachers Using GeoGebra to Visualize and Verify Conjectures About Trapezoids. Canadian Journal of Science, Mathematics and Technology Education 20:3, pages 485-503.
Crossref
Tugba Uygun. (2020) An inquiry-based design research for teaching geometric transformations by developing mathematical practices in dynamic geometry environment. Mathematics Education Research Journal 32:3, pages 523-549.
Crossref
Gila Hanna & Christine Knipping. (2020) Proof in Mathematics Education, 1980-2020: An Overview. Journal of Educational Research in Mathematics 30:S, pages 1-13.
Crossref
Simon Bheki Khoza & Audrey Thabile Biyela. (2019) Decolonising technological pedagogical content knowledge of first year mathematics students. Education and Information Technologies 25:4, pages 2665-2679.
Crossref
Helena Rocha. (2019) Mathematical proof: from mathematics to school mathematics. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377:2140, pages 20180045.
Crossref
Özlem Erkek & Mine Işıksal Bostan. (2018) Prospective Middle School Mathematics Teachers’ Global Argumentation Structures. International Journal of Science and Mathematics Education 17:3, pages 613-633.
Crossref
Harrison Ngirishi & Sarah Bansilal. (2019) AN EXPLORATION OF HIGH SCHOOL LEARNERS’ UNDERSTANDING OF GEOMETRIC CONCEPTS. Problems of Education in the 21st Century 77:1, pages 82-96.
Crossref
Anna Baccaglini-Frank, Samuele Antonini, Allen Leung & Maria Alessandra Mariotti. (2018) From Pseudo-Objects in Dynamic Explorations to Proof by Contradiction. Digital Experiences in Mathematics Education 4:2-3, pages 87-109.
Crossref
Esra Balgalmış & Emine Işık-Ceyhan. (2018) The Effect of Associative Teaching on 7th Grade Students' Achievement in Quadrilaterals. Turkish Journal of Computer and Mathematics Education (TURCOMAT).
Crossref
C K Sari, M Waluyo, C M Ainur & E N Darmaningsih. (2018) Logical errors on proving theorem. Journal of Physics: Conference Series 948, pages 012059.
Crossref
Gila Hanna. 2018. Advances in Mathematics Education Research on Proof and Proving. Advances in Mathematics Education Research on Proof and Proving 3 18 .
Sarah K. Bleiler-Baxter & Jeffrey D. Pair. (2017) Engaging students in roles of proof. The Journal of Mathematical Behavior 47, pages 16-34.
Crossref
Tugce Kozakli Ulger & Menekse Seden Tapan Broutin. (2017) Pre-Service Mathematics Teachers’ Understanding of Quadrilaterals and the Internal Relationships between Quadrilaterals: The Case of Parallelograms. European Journal of Educational Research volume-6-2017:volume6-issue3.html, pages 331-345.
Crossref
Paul Christian Dawkins & Keith Weber. (2016) Values and norms of proof for mathematicians and students. Educational Studies in Mathematics 95:2, pages 123-142.
Crossref
Nathalie Sinclair, Maria G. Bartolini Bussi, Michael de Villiers, Keith Jones, Ulrich Kortenkamp, Allen Leung & Kay Owens. (2016) Recent research on geometry education: an ICME-13 survey team report. ZDM 48:5, pages 691-719.
Crossref
Usha Kotelawala. (2015) The Status of Proving Among US Secondary Mathematics Teachers. International Journal of Science and Mathematics Education 14:6, pages 1113-1131.
Crossref
Didem Akyuz. (2014) MATHEMATICAL PRACTICES IN A TECHNOLOGICAL SETTING: A DESIGN RESEARCH EXPERIMENT FOR TEACHING CIRCLE PROPERTIES. International Journal of Science and Mathematics Education 14:3, pages 549-573.
Crossref
Martin Josefsson. (2016) On the classification of convex quadrilaterals. The Mathematical Gazette 100:547, pages 68-85.
Crossref
Mi Yeon LEE. (2015) The Relationship between Pre-service Teachers' Geometric Reasoning and their van Hiele Levels in a Geometer's Sketchpad Environment. Research in Mathematical Education 19:4, pages 229-245.
Crossref
Maria Fahlgren & Mats Brunström. (2014) A Model for Task Design with Focus on Exploration, Explanation, and Generalization in a Dynamic Geometry Environment. Technology, Knowledge and Learning 19:3, pages 287-315.
Crossref
Mark Leikin, Ilana Waisman, Shelley Shaul & Roza Leikin. (2014) Brain activity associated with translation from a visual to a symbolic representation in algebra and geometry. Journal of Integrative Neuroscience 13:01, pages 35-59.
Crossref
Gerry Stahl. 2013. Translating Euclid. Translating Euclid.
Anat Levav-Waynberg & Roza Leikin. (2012) The role of multiple solution tasks in developing knowledge and creativity in geometry. The Journal of Mathematical Behavior 31:1, pages 73-90.
Crossref
Fou-Lai Lin, Kai-Lin Yang, Kyeong-Hwa Lee, Michal Tabach & Gabriel Stylianides. 2012. Proof and Proving in Mathematics Education. Proof and Proving in Mathematics Education 305 325 .
Feng-Jui Hsieh, Wang-Shian Horng & Haw-Yaw Shy. 2012. Proof and Proving in Mathematics Education. Proof and Proving in Mathematics Education 279 303 .
Kazuhiko Nunokawa. 2010. Explanation and Proof in Mathematics. Explanation and Proof in Mathematics 223 236 .
Cyril Julie, Allen Leung, Nguyen Chi Thanh, Linda S. Posadas, Ana Isabel Sacristán & Alexei Semenov. 2010. Mathematics Education and Technology-Rethinking the Terrain. Mathematics Education and Technology-Rethinking the Terrain 361 383 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.