The incorporation of intentional mathematical discussions can be used as a tool to increase engagement and ensure instruction is equitable. In this article, the authors share how the implementation of the five practices (Smith and Stein 2011) can reveal potential implicit biases during critical instructional moments, and they provide tools and…

This paper presents a qualitative multiple case study on the professional identity development of English as a Foreign Language (EFL) teachers working at rural schools. The participants of the study as individual cases were five middle school teachers from four different geographical regions of Turkey. The research foci of the study were: (1)…

In the U.S., state adopted or developed college- and career-ready mathematics standards, including the Common Core State Standards for Mathematics, not only impact districts, students, and their teachers, but also university teacher preparation programs. In order to attain and sustain Common Core's vision of developing mathematically competent…

This study contrasted the effects of two task messages, evaluative or non-evaluative, on mathematics performance, affect, and intrinsic task motivation. One hundred-twenty secondary-school students aged 17-21 years were delivered one of the two messages, or assigned to a control condition, before completing a mathematics task, measures of message…

The relevance of the present study is due to the importance of developing creativity which is considered to be the target and the result of education. Modern society demands from individuals non-standard actions and approaches, flexibility, an ability to formulate new ideas and original ways of thinking when solving urgent problems in the course…

Open-ended mathematical tasks provide great opportunities for students to engage in authentic mathematical practices, such as conjecturing, generalizing, and justifying. Supporting students in open-ended tasks can be challenging. Appropriate scaffolding of a task has been linked to more opportunities for student learning and better student…

Matrices occupy an awkward spot in a typical algebra 2 textbook: sandwiched between solving linear systems and solving quadratics. Even teachers who do not base their course timeline and pacing on the class textbook may find a disconnect between how matrices are taught (procedurally) and how other topics are taught (conceptually or with real-world…

This article discusses how teaching via problem solving helps enact the Mathematics Teaching Practices and supports students' learning and development of the Standards for Mathematical Practice. This approach involves selecting and implementing mathematical tasks that serve as vehicles for meeting the learning goals for the lesson. For the lesson…

Developing students' algorithmic and computational thinking is currently a major objective for primary and secondary education in many countries around the globe. Literature suggests that students face at various difficulties in programming processes, because of their mental models about basic programming constructs. Arrays constitute the first…

This study explored whether adults and adolescents with autism spectrum disorder (ASD) demonstrate difficulties making metacognitive judgments, specifically judgments of learning. Across two experiments, the study examined whether individuals with ASD could accurately judge whether they had learnt a piece of information (in this case word pairs).…

Background: Previous research indicates that children can display different attention allocation patterns in response to threat. However, data are lacking on the possible existence of an attentional bias in response to academic stressors, and whether variables related to school well-being (SWB) and students' individual characteristics may…

This study examined English as a foreign language (EFL) spelling development amongst 233 fifth-grade, eighth-grade and 10th-grade Hebrew first-language speakers to examine effects of English orthographic exposure on spelling. Good and poor speller differences were examined regarding the acquisition of novel phonemes (/ae/, /?/ and /?/) and…

In this study, we investigated teachers' teaching practices and their underlying beliefs regarding context-based tasks to find a possible explanation for students' difficulties with these tasks. The research started by surveying 27 Junior High School teachers from seven schools in Indonesia through a written questionnaire. Then, to further examine…

The aim of this study was to investigate the role of reflection as a preparatory mechanism for employees' engagement in innovative work behaviour (IWB). This issue was explored in a study with 67 teachers at the highest level of German secondary education. Specifically, we investigated whether teachers who reflected on work tasks, the social…

Do your students think a triangle can be constructed from any three given line segments? Do they believe that a transformation affects only the pre-image--not the whole plane? Do they understand that examples--no matter how many they find--cannot prove a conjecture but one counterexample is sufficient to disprove it? "What tasks can you…