On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin

Cited by (1,847)

Items 301–400 of 1,847

1. A framework for designing a research-based “maths counsellor” teacher programme
   Uffe Thomas Jankvist, Mogens Niss · 2015 · Educational Studies in Mathematics
2. Algorithmic contexts and learning potentiality: a case study of students’ understanding of calculus
   Kerstin Pettersson, Max Scheja · 2008 · International Journal of Mathematical Education in Science and Technology
3. Constructing a concept of number
   Karenleigh A. Overmann · 2018 · Journal of Numerical Cognition
4. Comparison of types of generalizations and problem-solving schemas used to solve a mathematical problem
   Tatjana Hodnik Čadež, Vida Manfreda Kolar · 2015 · Educational Studies in Mathematics
5. Working with Logarithms: Students' Misconceptions and Errors
   Boon Liang Chua, Eric F. Wood · 2005
6. University Mathematics Students’ Learning Difficulties
   Johan Lithner · 2011 · Education Inquiry
7. Explanation and Proof in Mathematics
   Gila Hanna, Hans Niels Jahnke, Helmut Pulte · 2009 · Springer eBooks
8. Calculus students’ ability to solve geometric related-rates problems
   Tami S. Martin · 2000 · Mathematics Education Research Journal
9. When Negotiation of Meaning is also Negotiation of Task
   Iben Maj Christiansen · 1997 · Educational Studies in Mathematics
10. Approaching Proof in a Community of Mathematical Practice
    Kirsti Hemmi · 2006 · KTH Publication Database DiVA (KTH Royal Institute of Technology)
11. Student Difficulties in Solving Equations from an Operational and a Structural Perspective
    Al Jupri, Paul H. M. Drijvers, Marja van den Heuvel‐Panhuizen · 2014 · International Electronic Journal of Mathematics Education
12. What happens when CAS procedures are objectified?—the case of “solve” and “desolve”
    Uffe Thomas Jankvist, Morten Misfeldt, Mario Sánchez Aguilar · 2019 · Educational Studies in Mathematics
13. Algebra Students' Ability to Recognize Multiple Representations and Achievement.
    Regina M. Panasuk, Matthew L. Beyranevand · 2010 · International Journal for Mathematics Teaching and Learning
14. Making Sense of Mathematical Reasoning and Proof
    David O. Tall · 2013 · Advances in mathematics education
15. TEACHERS’ KNOWLEDGE OF THE CONCEPT OF A FUNCTION: A THEORETICAL FRAMEWORK
    Maroni Runesu Nyikahadzoyi · 2013 · International Journal of Science and Mathematics Education
16. Virtual math objects with pedagogical, mathematical, and cognitive fidelity
    Beth Bos · 2008 · Computers in Human Behavior
17. Referential and syntactic approaches to proving: Case studies from a transition-to-proof course
    Lara Alcock, Keith Weber · 2010 · Issues in mathematics education
18. Struggling with variables, parameters, and indeterminate objects or how to go insane in mathematics
    Caroline Bardini, Luis Radford, Cristina Sabena · 2005 · Institutional Research Information System University of Turin (University of Turin)
19. Integrating history: research perspectives
    Évelyne Barbin, Giorgio Tomaso Bagni, Lucía Grugnetti · 2002 · New ICMI studies series
20. New light on old horizon: Constructing mathematical concepts, underlying abstraction processes, and sense making strategies
    Thorsten Scheiner · 2015 · Educational Studies in Mathematics
21. Problems of reification: Representations and mathematical objects
    Patrick W Thompson, Anna Sfard · 1998
22. Young Students’ Functional Thinking Modes: The Relation Between Recursive Patterning, Covariational Thinking, and Correspondence Relations
    Pittalis, Marios, Pitta-Pantazi, Demetra, Christou, Constantinos · 2020 · Journal for Research in Mathematics Education
23. Difficulties with design: The challenges of teaching design in K-5 programming
    Jane Waite, Paul Curzon, William Marsh, Sue Sentance · 2020 · Computers & Education
24. Students’ understanding of mathematical objects in the context of transformational geometry: Implications for constructing and understanding proofs
    Neil Portnoy, Todd A. Grundmeier, Karen J. Graham · 2006 · The Journal of Mathematical Behavior
25. Research in Mathematics Education
    Anna Sfard, Paul Cobb · 2014 · Cambridge University Press eBooks
26. Inverse, composition, and identity: The case of function and linear transformation
    Spencer Bagley, Chris L. Rasmussen, Michelle Zandieh · 2014 · The Journal of Mathematical Behavior
27. Tertiary Mathematics Education Research and its Future
    Annie Selden, John Selden · 2005 · Kluwer Academic Publishers eBooks
28. The Effects of Mathematical Modelling on Students’ Achievement-Meta-Analysis of Research
    Andrzej Sokolowski · 2015 · IAFOR Journal of Education
29. Teaching and Learning Mathematics through Variation
    Li, Yeping, Huang, Rongjin · 2017 · SensePublishers eBooks
30. Improving Grade 7 Students’ Achievement in Initial Algebra Through a Technology-Based Intervention
    Al Jupri, Paul H. M. Drijvers, Marja van den Heuvel‐Panhuizen · 2015 · Digital Experiences in Mathematics Education
31. Developing a theory of mathematical growth
    David O. Tall · 2007 · ZDM
32. Worldviews, religions, and beliefs about teaching and learning: perception of mathematics teachers with different religious backgrounds
    Yip-Cheung Chan, Ngai‐Ying Wong · 2014 · Educational Studies in Mathematics
33. Symbolic manipulators affect mathematical mindsets
    Thomas J. Bing, Edward F. Redish · 2008 · American Journal of Physics
34. Teaching integration with layers and representations: A case study
    Joshua S. Von Korff, N. Sanjay Rebello · 2012 · Physical Review Special Topics - Physics Education Research
35. Interactions Between Mathematics and Physics: The History of the Concept of Function—Teaching with and About Nature of Mathematics
    Tinne Hoff Kjeldsen, Jesper Lützen · 2015 · Science & Education
36. The Collective Mediation of a High-Stakes Accountability Program: Communities and Networks of Practice
    Paul Cobb, Kay McClain · 2010 · Springer eBooks
37. Learning from the Eastern and the Western debate: the case of mathematics teacher education
    Gabriele Kaiser, Sigrid Blömeke · 2013 · ZDM
38. Relationship between Students’ Understanding of Functions in Cartesian and Polar Coordinate Systems
    Mariana Montiel, Draga Vidakovic, Tangül Kabael · 2008 · Investigations in Mathematics Learning
39. Can collaborative concept mapping create mathematically productive discourses?
    Andreas Ryve · 2004 · Educational Studies in Mathematics
40. Higher Mathematics Education
    Guershon Harel, Jana Trgalová · 1996 · Springer eBooks
41. Modeling, Symbolizing, and Tool Use in Statistical Data Analysis
    Paul Cobb · 2002 · Springer eBooks
42. Information as ontologization
    David J. Saab, Uwe V. Riss · 2011 · Journal of the American Society for Information Science and Technology
43. Conceptual mis(understandings) of fractions: From area models to multiple embodiments
    Xiaofen Zhang, M. A. Ken Clements, Nerida F. Ellerton · 2014 · Mathematics Education Research Journal
44. Model Breaking Points Conceptualized
    Rozy Vig, Eileen Murray, Jon R. Star · 2014 · Educational Psychology Review
45. Where does the calculus go? An investigation of how calculus ideas are used in later coursework
    Jennifer A. Czocher, Jenna Tague, Greg Baker · 2013 · International Journal of Mathematical Education in Science and Technology
46. Mathematical competencies and the role of mathematics in physics education: A trend analysis of TIMSS Advanced 1995 and 2008
    Trude Nilsen, Carl Angell, Liv Sissel Grønmo · 2013 · Acta Didactica Norge
47. Investigating changes in high-stakes mathematics examinations: a discursive approach
    Candia Morgan, Anna Sfard · 2016 · Research in Mathematics Education
48. Learning Mathematics through Programming:An Instrumental Approach to Potentials and Pitfalls
    Morten Misfeldt, Stine Ejsing‐Duun · 2015 · VBN Forskningsportal (Aalborg Universitet)
49. The Equal Sign: Teachers’ Knowledge and Students’ Misconceptions
    Cornelis Vermeulen, Bronwin Colleen Meyer · 2017 · African Journal of Research in Mathematics Science and Technology Education
50. When didactics meet data science: process data analysis in large-scale mathematics assessment in France
    Franck Salles, Reinaldo dos Santos, Saskia Keskpaik · 2020 · Large-scale Assessments in Education
51. Conjecturing via reconceived classical analogy
    Kyeong-Hwa Lee, Bharath Sriraman · 2010 · Educational Studies in Mathematics
52. The Features and Relationships of Reasoning, Proving and Understanding Proof in Number Patterns
    Lin, Fou-Lai, Yang, Kai-Lin, Chen, Chuang-Yih · 2004 · International Journal of Science and Mathematics Education
53. Supporting mathematical literacy: examples from a cross-curricular project
    Thilo Höfer, Astrid Beckmann · 2008 · ZDM
54. Commognition as a lens for research
    Norma C. Presmeg · 2015 · Educational Studies in Mathematics
55. Limits of Functions as They Developed Through Time and as Students Learn Them Today
    Kristina Juter · 2006 · Mathematical Thinking and Learning
56. Teaching practices for unfolding information and connecting multiple representations: the case of conditional probability information
    Monika Post, Susanne Prediger · 2022 · Mathematics Education Research Journal
57. A Historical Perspective on Teaching and Learning Calculus
    Michiel Doorman, Jan A. van Maanen · 2008 · Australian senior mathematics journal
58. Examining Students’ Mathematical Understanding of Geometric Transformations Using the Pirie-Kieren Model
    Hilal Gülkılık, Hasan Hüseyin Uğurlu, Nejla Yürük · 2015 · Educational Sciences Theory & Practice
59. Learning and expertise with scientific external representations: an embodied and extended cognition model
    Prajakt Pande · 2020 · Phenomenology and the Cognitive Sciences
60. Mathematical Representation Competency in Relation to Use of Digital Technology and Task Design—A Literature Review
    Mathilde Kjær Pedersen, Cecilie Carlsen Bach, Rikke Maagaard Gregersen · 2021 · Mathematics
61. Understanding Linear Function: a Comparison of Selected Textbooks from England and Shanghai
    Yuqian Wang, Patrick Barmby, David S. Bolden · 2015 · International Journal of Science and Mathematics Education
62. A mathematical experience involving defining processes: in-action definitions and zero-definitions
    Cécile Ouvrier-Buffet · 2010 · Educational Studies in Mathematics
63. Formation of Mathematical Objects as Decision Making
    Willi Dörfler · 2002 · Mathematical Thinking and Learning
64. "Theoric Transformations" and a New Classification of Abductive Inferences
    Michael H. G. Hoffmann · 2010 · Project Muse (Johns Hopkins University)
65. Students’ attitudes to mathematics and performance in limits of functions
    Kristina Juter · 2005 · Mathematics Education Research Journal
66. An Analysis of Statements of the Multiplication Principle in Combinatorics, Discrete, and Finite Mathematics Textbooks
    Elise Lockwood, Zackery Reed, John S. Caughman · 2016 · International Journal of Research in Undergraduate Mathematics Education
67. Theory and Development of Teaching Through Variation in Mathematics in China
    Feishi Gu, Rongjin Huang, Lingyuan Gu · 2017 · SensePublishers eBooks
68. Integrating Academic and Practical Knowledge in a Teacher Leaders’ Development Program
    Ruhama Even · 1999 · Springer eBooks
69. Abstraction in Computer Science Education: An Overview
    Claudio Mirolo, Cruz Izu, Violetta Lonati · 2021 · Informatics in Education
70. DEFINING MATHEMATICS COMPETENCY IN THE SERVICE OF COGNITIVELY BASED ASSESSMENT FOR GRADES 6 THROUGH 8
    Edith Aurora Graf · 2009 · ETS Research Report Series
71. A Friendly Introduction to “Knowledge in Pieces”: Modeling Types of Knowledge and Their Roles in Learning
    Andrea A. diSessa · 2019 · ICME-13 monographs
72. Numeracy skills in young children as predictors of mathematical competence
    Maximilian Seitz, Sabine Weinert · 2022 · British Journal of Developmental Psychology
73. Diagrammatic reasoning and hypostatic abstraction in statistics education
    Arthur Bakker · 2007 · Semiotica
74. Hong Kong teachers’ views of effective mathematics teaching and learning
    Ngai‐Ying Wong · 2007 · ZDM
75. Geometric and algebraic approaches in the concept of complex numbers
    Areti Panaoura, Iliada Elia, Athanasios Gagatsis, G.-P. Giatilis · 2006 · International Journal of Mathematical Education in Science and Technology
76. Mathematics Lessons in Korea: Teaching with Systematic Variation
    Kyungmee Park, Fks Leung · 2006 · BRILL eBooks
77. From Grounding Metaphors to Technological Devices: A Call for Legitimacy in School Mathematics
    Luciana Bazzini · 2001 · Educational Studies in Mathematics
78. GEOMETRIC AND ALGEBRAIC APPROACHES IN THE CONCEPT OF “LIMIT” AND THE IMPACT OF THE “DIDACTIC CONTRACT”
    Iliada Elia, Athanasios Gagatsis, Areti Panaoura · 2009 · International Journal of Science and Mathematics Education
79. Representing numbers: prime and irrational
    Rina Zazkis · 2005 · International Journal of Mathematical Education in Science and Technology
80. Limits of Functions University Students' Concept Development
    Kristina Juter · 2006 · Epubl LTU
81. The role of representations in learning the derivative
    Markus Hähkiöniemi · 2006 · Jyväskylä University Digital Archive (University of Jyväskylä)
82. Analyzing Students' Mathematical Thinking in Technology-supported Environments
    Zekeriya Karadağ · 2010 · Library and Archives Canada (Government of Canada)
83. Apprehending Mathematical Structure: A Case Study of Coming to Understand a Commutative Ring
    Adrian P. Simpson, Naďa Vondrová · 2006 · Educational Studies in Mathematics
84. The Interplay Between Spoken Language and Informal Definitions of Statistical Concepts
    Ilana Lavy, Michal Mashiach‐Eizenberg · 2009 · Journal of Statistics Education
85. An APOS analysis of solving systems of equations using the inverse matrix method
    Cathrine Kazunga, Sarah Bansilal · 2020 · Educational Studies in Mathematics
86. Purifying applied mathematics and applying pure mathematics: how a late Wittgensteinian perspective sheds light onto the dichotomy
    José Antonio Pérez‐Escobar, Deniz Sarikaya · 2021 · European Journal for Philosophy of Science
87. Combining different theoretical perspectives for analyzing students’ difficulties in vector spaces theory
    Mirko Maracci · 2008 · ZDM
88. The Mathematics Curriculum: Toward Globalization or Westernization?
    Ngai‐Ying Wong, Han Ji-wei, Peng Yee Lee · 2004 · Series on mathematical education
89. The historical roots of the limit notion: Cognitive development and the development of representation registers
    Giorgio Tomaso Bagni · 2005 · Canadian Journal of Science Mathematics and Technology Education
90. APLUSIX, A learning environment for algebra, actual use and benefits
    Hamid Chaachoua, Jean-François Nicaud, Alain Bronner · 2004 · HAL
91. El Papel del MTSK como Modelo de Conocimiento del Profesor en las Interrelaciones entre los Espacios de Trabajo Matemático
    Eric Flores-Medrano, Miguel Montes, José Carrillo · 2016 · Bolema Boletim de Educação Matemática
92. Making Logarithms Accessible – Operational and Structural Basic Models for Logarithms
    Christof Weber · 2016 · Journal für Mathematik-Didaktik
93. Investigating Students’ Attention to Covariation Features of their Constructed Graphs in a Figural Pattern Generalisation Context
    Karina Joyce Wilkie · 2019 · International Journal of Science and Mathematics Education
94. Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics
    Frank Feudel, Rolf Biehler · 2020 · Journal für Mathematik-Didaktik
95. Bridging History of the Concept of Function with Learning of Mathematics: Students’ Meta-Discursive Rules, Concept Formation and Historical Awareness
    Tinne Hoff Kjeldsen, Pernille Hviid Petersen · 2013 · Science & Education
96. Conceptual blending: Student reasoning when proving “conditional implies conditional” statements
    Michelle Zandieh, Kyeong Hah Roh, Jessica Knapp · 2014 · The Journal of Mathematical Behavior
97. Mathematics education graduate students’ understanding of trigonometric ratios
    Melike Yiğit Koyunkaya · 2016 · International Journal of Mathematical Education in Science and Technology
98. Pre-Service and In-Service Mathematics Teachers’ Knowledge and Professional Development
    Fou-Lai Lin, Tim Rowland · 2016 · SensePublishers eBooks
99. GENERALIZED DIAGRAMS AS A TOOL FOR YOUNG CHILDREN'S PROBLEM SOLVING
    Barbara J. Dougherty, Hannah Slovin · 2004 · Proceedings of the ... PME Conference
100. Reducing abstraction level when learning computability theory concepts
     Orit Hazzan · 2002 · Annual Conference on Innovation and Technology in Computer Science Education (ITiCSE)