Student learning in simple electric circuits has been extensively studied, which has revealed a large number of persistent misunderstandings. This study applies the conceptual framework model to investigate student difficulties in the knowledge integration perspective. The results are used to guide the design of a concept test that targets the…

This article describes a study of how Chinese preservice teachers unpacked a learning goal pertaining to adding fractions and understanding the concepts underlying the operation. Based on work in the USA by Morris, Hiebert, and Spizter ("Journal for Research in Mathematics Education," 40(5), 491-529, 2009), 50 Chinese preservice teachers…

We propose that there exists mathematical knowledge for teaching (MKT) specific to visual representations (VRs), abbreviated MKT-VR. We define a VR as a graphic creation, such as a diagram or drawing, which illustrates quantities and shows quantitative relationships or which illustrates geometric properties of figures and shows geometric…

The purpose of the study is to investigate the elementary education undergraduate students' understanding levels of one dimensional motion which they take in the compulsory general physics course in the second year, third term and instructors' predictions about the students' responses. The study is a descriptive study. The data of the study were…

Flipped instruction is not new and the literature is extensive with examples of flipped courses. However, there is a lack of studies with a structured, methodical approach to flipped design, implementation, and evaluation of its effectiveness. An upper division geology course was flipped to allow focus on higher-level concepts, especially…

Mathematical thinking beliefs are a significant element in supporting teachers' practices of learning and teaching school mathematics. Most prior researches on mathematics beliefs have focused on teachers' beliefs about learning and teaching mathematics in general. This research aimed to validate a Mathematical Thinking Belief instruments (MTB).…

The concept of fractions is perceived as one of the most difficult areas in school mathematics to learn and teach. The most frequently mentioned factors contributing to the complexity is fractions having five interrelated constructs: part-whole, ratio, operator, quotient, and measure. In this study, we used this framework to investigate the…

One of the subjects that constitute a problem for adult students of mathematics is the understanding of fractions and proportions. These notions are interrelated with proportional reasoning which was the focal point of our study. Using a mixed methods approach, we tried to assess the proportional reasoning of adult students during problem solving.…

This article describes a lesson in which students will utilize ideation and engineering design to innovate a solution to a design problem using common household products.

Despite a tremendous success in boosting students learn electrical analogies for science education, it remains a challenge to extend such strategy for formally constructing equations related to the Ohm's law in order to solve electrical problems based on series and parallel circuits. Unlike most traditional works of teaching technique that focus…

The premise on which our synthesis is based is the fragmentation of research focused on teaching and learning in mathematics. Our intention is to build an aggregate synthesis from these sources in the context of school education and meaningful learning. Our research targets the links between the different approaches used in teaching, interaction…

This study aims to examine postgraduate studies on analytical thinking in Türkiye. Using the descriptive content analysis method, postgraduate studies on analytical thinking skills were examined and arranged, and general trends in the field were determined. The YÖK national database was searched using the keyword "analytical thinking."…

This paper presents the results of a study on Calculus students' use of web-based homework. We collected data from students' web-based homework usage, such as their grades, time spent, number of attempts used to solve problems, and problem solutions. We also collected grades on in-class quizzes, which were given the day after homework had been…

Introductory physics courses can be a challenge for some college students, especially those that have not taken Advanced Placement (AP) physics courses in high school. Even some classical mechanics concepts, such as energy, power, or the laws of Newton, can be non-intuitive and hard to grasp. When it comes to evaluating the learning outcome of our…

Research indicates that troubleshooting activities that require students to reflect on pre-prepared erroneous examples, i.e. erroneous solutions to problems that correspond to common naïve ideas, impact their learning positively. These include asking students to diagnose erroneous examples; in other words, detect the conceptual errors and then…