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Using Computer Simulations and Culturally Responsive Instruction to Broaden Urban Students’ Participation in STEM
Springer Science and Business Media LLC - Tập 5 - Trang 101-123 - 2019
This article describes the findings of a pilot study that used computer simulations to broaden urban children’s opportunities to learn and participate in science, technology, engineering and mathematics (STEM). Culturally responsive instructional practices were used to engage urban children in mathematical reasoning and science process skills to create computer simulations. In this study, African-......
Mathematics, TouchTimes and the Primary School Teacher: Generating Opportunities for Transitions Across and Beyond
Springer Science and Business Media LLC - Tập 9 - Trang 5-30 - 2022
Using the theoretical constructs of double instrumental genesis and instrumental distance, in this article, I examine case studies of four primary school teachers (K–5) in British Columbia, Canada, who implemented the multi-touch, iPad application TouchTimes (hereafter, TT) into their mathematics teaching. This novel digital technology provides embodied and relational experiences of multiplication......
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
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......
The Emergence of the “FlexTech” Orchestration of Inferential Reasoning on Pattern Generalization
Springer Science and Business Media LLC - Tập 8 - Trang 1-26 - 2021
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......
Conversations with Materials and Diagrams about some of the Intricacies of Oscillatory Motion
Springer Science and Business Media LLC - Tập 7 - Trang 167-191 - 2020
This article relates a case study on how a conversation with materials and diagrams – the actual use of materials and diagrams to think, imagine, explain, collaborate, design and build – featured a certain kind of interplay between material and digital components. The physical components present in this setting included a water wheel, which is a wheel driven by flow of water whose rotational motio......
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......
When a University Mathematics Department Adopted Core Mathematics Courses of an Unintentionally Constructionist Nature: Really?
Springer Science and Business Media LLC - Tập 1 - Trang 133-155 - 2015
In a sequence of core mathematics courses instituted in 2001 at Brock University, students learn to design, program and use interactive computer environments, in order to investigate a self-stated mathematical conjecture, a concept, a theorem or a real-world situation. In this article, we provide documentation for the complete implementation process (design and adoption, actual implementation and ......
The Potential Synergy of Digital and Manipulative Artefacts
Springer Science and Business Media LLC - Tập 6 - Trang 109-122 - 2020
On the basis of the hypothesis that emerged from recent research studies, this article discusses the potential synergy between the combined use of both digital and manipulative artefacts. The discussion is supported by examples drawn from a collection of data gathered in the frame of two teaching experiments, carried out at different school levels, with the objective of constructi......
Investigating Complexity to Assess Student Learning from a Robotics-Based Task
Springer Science and Business Media LLC - Tập 2 - Trang 93-114 - 2016
While robotics is becoming a popular tool to introduce an integrated STEM curriculum into both, elementary and secondary schools, its impact on students’ learning remains underexplored. This article addresses the complexity of assessing mathematics learning within a robotics-based task by identifying the different types of knowledge and processes related to digital, mathematical and sociocultural ......
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.......
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