Transitional engineering students are those who are academically ineligible to enter a bachelor's engineering program but are enrolled in an associate engineering program with a university. Successful completion of such an associate engineering program allows the higher achievers to transfer to a full bachelor's engineering program. The associate…

Purpose: Math word problem solving, a form of reading comprehension, is complicated by mathematical lexical ambiguity (e.g., the word "difference" can mean "dissimilarity" in everyday discourse but "the answer in a subtraction problem" in math). This study examined the role of mathematical lexical ambiguity in math…

This study aims to examine mathematics teachers' interpretations of students' thinking within the scope of teaching experiments as a professional development activity. The method used in this study is a teaching experiment. The participants are 3 elementary school mathematics teachers. The teaching experiment consists of 5 teaching episodes and…

A more motivating way of introducing students to probability theory is through real-world problems. Since heuristics play an important role in our probabilistic judgement, knowing how to avoid incorrect probabilistic reasoning, which leads to several biases, could help students to develop more critical thinking skills. In this paper, we present a…

When gestures occur with speech during math instruction, learning outcomes improve, indicating that gesture has the potential to mitigate educational inequities. One population that could benefit from an instructional tool like gesture is English Language Learners (ELLs). To increase our understanding of gesture's potential benefits for math…

The Widlar current source is one of the basic current sources that undergraduate students encounter throughout their learning process on electronics courses. The Widlar current is actually given in terms of a transcendental equation. Although an analytical solution exists in terms of the Lambert W function it might not be that useful for students…

This 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…

In this study, it was investigated whether it would be possible to observe abstraction processes of secondary school 7th graders using the Revised Bloom's Taxonomy. For this purpose, eight students participated in the study. The study was conducted at a state secondary school in Turkey. Purposeful sampling method was used in the selection of…

Using question 28 from the May Problems to Ponder in volume 114, the author and her seventh- and eighth-grade students launched into a discussion of creativity, linearity, piecewise, and recursive definitions of functions. This pattern to ponder provided rich mathematical opportunities for all students in her middle school classroom.

Even after many decades of productive research, problem solving instruction is still considered ineffective. In this study we address some limitations of extant problem solving models related to the phenomenon of insight during problem solving. Currently, there are two main views on the source of insight during problem solving. Proponents of the…

Aim: In the current study we aimed to investigate the relation between creativity and mathematical problem solving in the upper grades of elementary school. Methods: To examine how student's levels of general creativity were related to their performance on different types of geometrical problems, a geometry test with diverse problems was…

One of the well-known approaches to creativity differentiates between creative person, process, product, and press. In the study presented in this paper we focus on creative process and product associated with Problem Posing through Investigation (PPI) by experts in mathematical problem solving. We link the creative process to creativity of PPI…

Technology, Engineering, and Mathematics (STEM) fields are in high demand. These fields all require sufficient math ability. However, many university students suffer from math anxiety. This study conducted an experiment to explore the influence of math anxiety on university students' challenging math problem-solving behavior and whether autonomy…

The research explores the metacognitive behaviours demonstrated by secondary school students with different mathematical achievement levels (outstanding, high, moderate and low levels of achievement) during solving a mathematical problem. The research uses a case study method and involves the participation of 36 students. The data, which were…

An important line of research related to the resolution of word problems is the study of the cognitive processes involved when subjects translate problems into the language of algebra. One of the most common errors in problem-solving is the reversal error (RE), which occurs when students reverse the relationship between two variables when…