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Handling Signs in Inequalities by Exploiting Multiple Dynamic Representations – the Case of ALNuSet
Springer Science and Business Media LLC - Tập 3 - Trang 39-69 - 2017
This article presents a research work aimed to study the role of computational tools in the conceptualization of algebraic properties according to the conceptual framework of instrumental genesis and the Design-Function-Tasks (DeFT) framework of multiple representations at Junior high school level. It concerns a didactical approach which takes advantage of the semiotic representations available by...... hiện toàn bộ
Students’ Development of a Logarithm Function in Python Using Taylor Expansions: a Teaching Design Case Study
Springer Science and Business Media LLC - Tập 8 - Trang 213-255 - 2022
We present here the lessons learned by iteratively designing a tutorial for first-year university students using computer programming to work with mathematical models. Alternating between design and implementation, we used video-taped task interviews and classroom observations to ensure that the design promoted student understanding. The final version of the tutorial we present here has students m...... hiện toàn bộ
Using a Simulator to Help Students with Dyspraxia Learn Geometry
Springer Science and Business Media LLC - Tập 7 - Trang 99-121 - 2020
This article investigates how a computer simulator for human interactions and a dyadic system in a pencil-and-paper environment can contribute to helping students with poor motor co-ordination, notably those with dyspraxia, to learn geometry. The aim is to design an alternative way to teach the subject, and to explore its effects on the learning processes. Geometric construction is an important el...... hiện toàn bộ
Using the ACAT Framework to Evaluate the Design of Two Geometry Apps: an Exploratory Study
Springer Science and Business Media LLC - Tập 5 - Trang 59-92 - 2018
It is an increasingly common phenomenon that elementary school students are using mobile applications (apps) in their mathematics classrooms. Classroom teachers, who are using apps, require a tool, or a set of tools, to help them determine whether or not apps are appropriate and how enhanced educational outcomes can be achieved via their use. In this article we investigate whether Artifact Centric...... hiện toàn bộ
The Interplay between Inspectable Student Models and Didactics of Statistics
Springer Science and Business Media LLC - - 2018
Statistics is a challenging subject for many university students. In addition to dedicated methods of didactics of statistics, adaptive educational technologies can also offer a promising approach to target this challenge. Inspectable student models provide students with information about their mastery of the domain, thus triggering reflection and supporting the planning of subsequent study steps....... hiện toàn bộ
Kindergarten Children and Early Learning of Number: Embodied and Material Encounters Within the Classroom
Springer Science and Business Media LLC - Tập 9 - Trang 401-419 - 2022
In this article, we draw on assemblage theory to investigate how children aged 5 engage with different material surfaces to explore ordinal and relational aspects of number. The children participate in an activity in which they first interact with a strip on the floor, then with a multi-touch iPad application, to work with numbers in expressive ways. Focus is on the physicality and materiality of ...... hiện toàn bộ
Construction of the Mathematical Meaning of the Function–Derivative Relationship Using Dynamic Digital Artifacts: a Case Study
Springer Science and Business Media LLC - Tập 5 - Trang 203-222 - 2019
This article describes construction processes of mathematical meaning of the function–derivative relationship, as it is studied graphically with a dynamic digital artifact. The discussion centres on a case study involving one student during his interaction with the artifact. He was asked to explain the connection between two linked dynamic graphs: the graph of a function and the graph of its deriv...... hiện toàn bộ
Balance Board Math: Exploring the Sense of Balance as a Basis for Functions and Graphing and Number Line Concepts
Springer Science and Business Media LLC - - 2024
Can math concepts be experienced through the sensory modality of balance? Balance Board Math (BBM) is a set of pedagogical math activities designed to instantiate mathematical concepts through stimulation to the vestibular sense: an organ in the inner ear that detects our bodily balance and orientation. BBM establishes the different ways children spontaneously rock and move as the basis for inclus...... 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
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
Sweeping Area across Physical and Virtual Environments
Springer Science and Business Media LLC - Tập 7 Số 1 - Trang 66-98 - 2021
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