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Scheming and Re-scheming: Secondary Mathematics Teachers’ Use and Re-use of Resources
Springer Science and Business Media LLC - Tập 7 - Trang 427-452 - 2021
Lina Kayali, Irene Biza
In this article, we examine secondary mathematics teachers’ work with resources using the Documentational Approach to Didactics lens. Specifically, we look at the resources and a teacher’s scheme of use (aims, rules of actions, operational invariants, and inferences) of these resources across a set of lessons (macro-level analysis) that aim towards students’ preparation for the examinations and ho...... hiện toàn bộ
The Emergence of the “FlexTech” Orchestration of Inferential Reasoning on Pattern Generalization
Springer Science and Business Media LLC - Tập 8 - Trang 1-26 - 2021
Andreas Eckert, Per Nilsson
The purpose of this study is to further our understanding of orchestrating math-talk with digital technology. The technology used is common in Swedish mathematics classrooms and involves personal computers, a projector directed towards a whiteboard at the front of the class and software programs for facilitating communication and collective exploration. We use the construct of instrumental orchest...... hiện toàn bộ
Using Digital Resources for Motivation and Engagement in Learning Mathematics: Reflections from Teachers and Students
Springer Science and Business Media LLC - Tập 2 - Trang 253-277 - 2016
Theodore Chao, Jason Chen, Jon R. Star, Chris Dede
Students’ motivation to learn mathematics often declines during the middle grades. How do we keep students engaged with learning mathematics as it gets more complex? One way is through the use of technology, such as computer games, interactive lessons, or on-line videos. Yet evidence from creating technology-based tasks and resources to motivate students to learn mathematics is mixed, partially be...... hiện toàn bộ
Duos of Digital and Tangible Artefacts in Didactical Situations
Springer Science and Business Media LLC - Tập 7 - Trang 1-21 - 2021
Sophie Soury-Lavergne
The duo of artefacts is a simplified model of the complex systems of various manipulatives (either tangible or virtual) that mathematics teachers and their students use in classrooms. It offers a means to study the complexity of the interweaving of the tangible and of the digital worlds in the teaching and learning processes. A duo of artefacts is defined as a specific combination of complementari...... hiện toàn bộ
Teachers Reporting on Dynamic Geometry Utilization Related to Reasoning Competency in Danish Lower Secondary School
Springer Science and Business Media LLC - - 2020
Ingi Heinesen Højsted
Design and Investigation of a Touch Gesture for Dividing in a Virtual Manipulative Model for Equation-solving
Springer Science and Business Media LLC - Tập 6 - Trang 166-190 - 2020
Thomas Janßen, Estela Vallejo-Vargas, Angelika Bikner-Ahsbahs, David A. Reid
Physical models for equation solving typically lack feedback regarding their appropriate use. Such feedback is possible in virtual environments and could be implemented in hybrid models. Based on an epistemological analysis, this article presents a touch gesture as a way for users to signal they want to divide both sides of an equation and a design for feedback on the use of this so-called ‘divisi...... hiện toàn bộ
Digital Keywords: a Vocabulary of Technology and Education
Springer Science and Business Media LLC - Tập 1 - Trang 101-105 - 2015
David Pimm
Students’ Verification and Elaboration in Outdoor Mathematics: The Role of Digital Feedback in MathCityMap
Springer Science and Business Media LLC - - 2024
Simone Jablonski
In this article, the role of digital feedback that was provided in an outdoor mathematics education setting is taken into consideration. Using the app MathCityMap (2020) in the context of a mathematics trail, the influence of positive and/or negative feedback is examined in relation to how it influences the processes of verification and elaboration. In this context, special emphasis is placed on t...... hiện toàn bộ
The Role of Artefacts and Resources in the Transition Between Mathematical Experiences Within and Between Digital and Non-digital Contexts
Springer Science and Business Media LLC - Tập 9 - Trang 56-88 - 2022
Mirko Maracci, Gabriella Pocalana, Greta Carlino
The introduction of digital artefacts for the teaching/learning of mathematics raises the issue of “transitioning” between the mathematical knowledge built in digital contexts and that built in a more traditional, non-digital context, and vice versa. In this article, we address this issue by presenting a teaching experiment aimed at fostering the development of the concept of variable in a lower s...... hiện toàn bộ
Heuristic Trees as a Digital Tool to Foster Compression and Decompression in Problem-Solving
Springer Science and Business Media LLC - - 2022
Rogier Bos, Theo van den Bogaart
AbstractThis design-based study addresses the issue of how to digitally support students’ problem-solving by providing heuristics, in the absence of the teacher. The problem is that, so far, digital tutoring systems lack the ability to diagnose students’ needs in open problem situations. Our approach is based on students’ ability to self-diagnose and find help. To ...... hiện toàn bộ
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