This study illustrates how two secondary mathematics teachers used students' incorrect answers as they supported students' engagement in collective argumentation. Three ways of supporting argumentation when students contributed incorrect answers are exemplified, and the structures of these arguments are investigated. Then, by focusing on the…

South African learners' performance in mathematics, both locally and internationally, has raised significant concerns, particularly in the realm of algebra. To address this issue, a mixed-methods study was conducted to explore the effectiveness of using algebra tiles to teach algebraic expressions. The study aimed to investigate algebraic…

The purpose of this study was to examine how pre-service teachers (PSTs) develop their teaching adaptive competence through teaching rehearsal and repeated teaching, which is one of the focused teacher education strategies in practice-based teacher education (PBTE). This study was conducted in an introductory teaching methods course of a physical…

Understanding the nature of science (NOS) is an important goal of science education, and textbooks are a key factor in shaping students' conceptions of NOS. In this study, we analysed NOS represented in middle school chemistry textbooks in the Chinese mainland. The selected materials were three most commonly adopted textbook series, which were…

Problem-solving is an essential part of teaching, learning, and assessment of physics and mathematics. The continuing educational reforms have a deep impact on everyday teaching as well as working with talented students. In the Macedonian educational system, the curricula do not explicitly point out the connection between mathematics and physics,…

Developing structure sense is an important part of learning algebra. We investigated learners' structure sense of algebraic expressions involving brackets. This led us to propose the constructs "surface structure" sense and "systemic structure" sense. Using a random sample of 58 Grade 10 learners scoring above 40% in a test, we…

This article describes "Build It!--The Rectangle Game" task that uses the context of a game to develop mathematical generalizations based on strategy. The underlying mathematics in this game-based task is for students to discover factors and prime and composite numbers through 100. The playful use of "The Rectangle Game"…

The effects of fluency-based instruction and accuracy-based instruction on contingency adduction were assessed using an alternating treatments design. Stimulus equivalence tasks were used to measure contingency adduction. Stimulus classes were composed of arbitrary visual forms. One treatment condition consisted of teaching fast, fluent responding…

Background: With the development of computational literacy, there has been a surge in both research and practice application of text-based and block-based modalities within the field of computer programming education. Despite this trend, little work has actually examined how learners engaging in programming process when utilizing these two major…

Learner corpora have been used extensively in corpus research to identify gaps and errors within learner writing but have rarely been directly used in corpus-informed instruction (CII). Importantly, scholars in CII have pointed out that "it is as important to see what learners can do as well as what they can't" when using learner corpora…

Learning the concept of fractions is among the most challenging topics in school mathematics. One of the main sources of difficulties in learning fractions is related to "natural number bias" (Van Hoof, Verschaffel & Van Dooren, 2015). Applying properties of the natural numbers incorrectly in situations involving rational numbers can…

Undergraduate biochemistry students frequently find the quantitative treatment of weak acids and bases troublesome. Given the p"K"[subscript a] of a weak acid "HA," for instance, many students struggle to calculate the pH of a solution of the conjugate base A[superscript -] at concentration "C," pH(A[superscript -],…

Background: Providing students with worked out problem solutions is a beneficial instructional technique in STEM disciplines, and studying examples that have been worked out incorrectly may be especially helpful for reducing misconceptions in students with low prior content knowledge. However, past results are inconclusive and the effects of…

The present study examined whether a defense rebuttal expert can effectively educate jurors on the risk that the prosecution's fingerprint expert made an error. Using a sample of 1716 jury-eligible adults, we examined the impact of three types of rebuttal testimony in a mock trial: (a) a methodological rebuttal explaining the general risk of error…

In the present study, researchers used problem-posing instruction to examine elementary students' understanding of multiplication. Students in fourth and fifth grade classrooms (n = 24) from a rural school district participated in a semester-long study. The focus of this study was examining student solutions to two specific lessons with problems…