The successful learning of physics fundamentally depends on students ability to apply mathematical ’ concepts in physical contexts. This connection between mathematical …
Global Blind Spot in Understanding Trigonometric Derivatives: A ...
Mar 3, 2025 · Trigonometric derivatives are fundamental in both mathematics and physics, yet their proper application, particularly the distinction between radians and degrees, poses a …
An exploratory study on student understandings of derivatives in …
Mar 1, 2017 · Using this terminology, this exploratory study on student understanding of derivatives can be summarized with the following research question: What are common ways …
The conceptual understanding of derivatives, which are fundamental concepts in calculus, frequently poses challenges for students in their educational journey (Orton, 1983; Drijvers et …
This paper extends the theoretical framework for exploring student understanding of the concept of the derivative, which was developed by Zandieh (2000). We expand upon the con-cept of a …
An Integrated Approach Mathematics instruction is often more effective when presented in a physical context. Schramm uses this insight to help develop students’ physical intuition as he …
Mar 4, 2025 · mathematical con-cepts in physical contexts. This connection between mathematical understanding and physics comprehension becomes particularly critical when …
Mathematical connections established in the teaching of functions
Aug 1, 2022 · In his study on the types of mathematical connections preservice mathematics teachers made and used while solving problems, Evitts (2004) identified five broad categories: …
Our first research question asked how students reason about partial derivatives and directional derivatives with different function representations and in different contexts. Our second …
Role of Graphs in Blending Physical and Mathematical Meaning …
Jan 10, 2022 · From literature, we know that making the connections between mathematics and physics is not trivial for most students, even at the advanced level. In the specific context of …
In the past three decades, the philosophical and epistemological implications of the definition of mathematics as the science of patterns have yielded a variety of approaches and methods to …
The Emergence of Mathematical Understanding: Connecting to …
Nov 22, 2021 · The results revealed that mathematical understanding can be achieved when new concepts are connected to at least two existing concepts within a student’s cognitive structure …
Abstract The purpose of this study was to give students a complete understanding of the derivative concept and at the same time help them to realize the critical applications of …
Exploring Mathematics Through Patterns
Patterns in Geometry Geometry serves as a profound domain in mathematics where patterns are not only fundamental but also omnipresent. The study of patterns in geometry encompasses …
An exploratory study on student understandings of derivatives in …
Mar 1, 2017 · While this study is focused on an exploration of student understanding of non-kinematics derivatives, it is helpful at this point to discuss the research literature on kinematics …
Global Blind Spot in Understanding Trigonometric Derivatives:
The successful learning of physics fundamentally depends on students’ ability to apply mathematical concepts in physical contexts. This connection between mathematical …
A Graph-Based Framework for Exploring Mathematical Patterns …
Aug 14, 2025 · This work introduces a novel framework that represents and analyzes physical laws as a comprehensive, weighted knowledge graph, combined with symbolic analysis to …
(PDF) The Mathematical Universe: Exploring the Interplay …
Jan 31, 2024 · The Mathematical Universe: Exploring the Interplay between Abstract Mathematics and Physical Reality January 2024 DOI: 10.13140/RG.2.2.11574.47683 Authors:
Can We Have Physical Understanding of Mathematical Facts?
May 10, 2021 · In Section 6, I will argue against a potential view according to which we can have physical understanding of mathematical facts because we can transfer the understanding we …
Patterns in Nature: A Mathematical Approach - Simple Science
Jun 11, 2025 · Examining how simple rules create complex patterns in biological systems. In nature, many patterns emerge from simple rules. These patterns can be seen in...