In this article, the authors share their favorite "Construct It!" activity, which focuses on rate of change and functions. The initial approach to instruction was procedural in nature and focused on making use of formulas. Specifically, after modeling how to find the slope of the line given two points and use it to solve for the…

Critical thinking is a key transversal competency of the 21st century, but some students have difficulty, especially during the transition to online learning due to the COVID-19 pandemic. This study aims to identify epistemological obstacles in critical thinking related to proof, generalization, alternative answers, and problem-solving. This…

This paper is part of broader research being conducted in the area of algebraic thinking in primary education. Our general research objective was to identify and describe generalization of a 2nd grade student (aged 7-8). Specifically, we focused on the transition from arithmetic to algebraic generalization. The notion of structure and its…

Further research is needed on strategies to improve employment outcomes for individuals with autism spectrum disorder (ASD). We replicated and extended prior research by examining the acquisition, maintenance, and generalization of discrete-trial training (DTT) performance of adults with ASD who were interested in careers as behavior technicians.…

Background and aims: This study was conducted in a clinical setting with the aim of replicating previously used procedures for teaching receptive vocabulary. Researchers increased the number of vocabulary words and maintained use of match-to-sample (MtS), prompting, and reinforcement procedures. Researchers were also interested in the efficacy of…

This study aims to assess personal creativity and the development of higher-order thinking skills in improvisation. The authors evaluated higher-order thinking skills in music improvisation and creativity of improvised musical compositions. The results of the t-test showed significant progress in both creativity and thinking skills among students…

Tangent lines are often first introduced to students in geometry during the study of circles. The topic may be repeatedly reintroduced to students in different contexts throughout their schooling, and often each reintroduction is accompanied by a new, nonequivalent definition of tangent lines. In calculus, tangent lines are again reintroduced to…

This study aims to develop a conceptual framework regarding practitioner knowledge and describe how one mathematics teacher generates her practitioner knowledge based on the framework. The characteristic of this framework is a combination of static and dynamic aspects of knowledge based on the teacher's perception and interpretation. The research…

Of all the tasks that special education teachers are charged with completing, managing classroom behaviors has been reported as one of the most challenging and one of the top reasons the teachers are leaving the field. The task of providing effective support in classroom management is also daunting for leadership personnel in school systems. This…

This article presents a study of 8th grade students working in groups to solve a task about generalizing patterns. The study aimed to openly explore how progress in mathematical thinking might relate to the discourse. To do this, we first studied both separately. The progress in mathematical thinking was studied by inspecting how the groups…

The purpose of this study was to evaluate the effects of intraverbal prompts on response diversity and novelty in intraverbals posed to children with autism spectrum disorder (ASD). The intraverbal prompts involving function, feature, and class (FFC) of an item were used in the training of three questions requiring multiple responses. Two Chinese…

Functional communication training (FCT) is a strategy to address problem behavior for students with various disabilities that is supported by a broad evidence base. Despite this support, multiple factors continue to dissuade educators from utilizing FCT in their classrooms. This article outlines the process of developing and implementing FCT plans…

Teachers whose mathematical meanings support understanding across different contexts are likely to convey them in productive ways for coherent student learning. This exploratory study sought to elicit 67 secondary mathematics pre-service teachers' (PSTs) meanings for quadratics with growing pattern creation and multiple translation tasks. A…

The Flourishing Scale is a new scale designed to measure psychological well-being. FS has been translated into more than 10 languages (e.g., Portuguese, Russian, Turki, Spanish, Egyptian, French, Chinses, Japanese, Malay, Urdu, and Persian). The psychometric analysis of the Flourishing Scale has not been explored in the Malaysian context. The aims…

This study investigated the effectiveness of inquiry-based learning (IBL) approach in ratio and proportion on the mathematics reasoning skill of seventh-grade students. The study was carried out in a seventh-grade mathematics course in a middle school located in the Central Anatolia region of Turkey during the 2016-2017 academic year. The IBL…