This paper presents results from three teaching experiments intended to guide students to reinvent truth-functional interpretations for mathematical disjunctions. The initial teaching experiments revealed that students' emergent strategies for assessing disjunctions did not entail or facilitate the development of a relevant partitioning of example…

In this paper we report the interview questions used in a study of middle school students' mathematical problem solving behaviors which were chosen based on Vygotsky's concept formation theory and Berger's appropriation theory. We discuss the task design/selection process along with the findings associated with the use of these tasks so to provide…

In Calculus, students are often both presented problems with and taught to use three interconnected types of representations: symbolic, graphic, and numeric. However, students often fail to notice the relationship between mathematical objects (and even the same object) that are presented using different types of representations. Using the APOS…

Interactive problem solving environments, such as intelligent tutoring systems and educational video games, produce large amounts of transactional data which make it a challenge for both researchers and educators to understand how students work within the environment. Researchers have modeled the student-tutor interactions using complex network…

In an educational environment, instructors would always think of ways to provide students with motivational learning materials and efficient learning strategies. Hence, many researchers have proposed that students' problem-solving ability enhances their learning. Problem-solving ability plays an important role for users in dealing with problems…

Whilst deficit discourses in classrooms and staff rooms are pervasive and dominant, there is some research which supports teachers disrupting deficit thinking and reconnecting with student "funds of knowledge". Processes for disrupting deficit knowledges tend to assume individual teacher construction of deficit views in conversation with…

Action research is a systematic approach to investigation that enables people to find effective solutions to problems they confront in their everyday lives. A significant feature is that action research lays claim to the professional development in education. Action research as any systematic inquiry conducted by teachers, administrators, and…

Brainstorming is a teaching method covering concepts such as critical thinking, decision taking, putting forward proposals for a solution to a problem, generating ideas and creative thinking. Through this method, students can hypothesize about the events, analyze events, make connections between topics, and reach accurate, reliable and definitive…

Cognitive interest is a vital learning motive for the successful learning process. Nowadays students' interest about science and mathematics are decreasing. The aim of the study is to explore the cognitive interest of Grade 9 students in science and mathematics. Students were surveyed and it helped to explore the respondents' cognitive activity…

The topic of the magic knight's tour, discussed by Martin Gardner in one of his books, is here brought up to date in the light of modern computer discoveries.

The numerical range, easy to understand but often tedious to compute, provides useful information about a matrix. Here we describe the numerical range of a 3 x 3 magic square. Applying our results to one of the most famous of those squares, the Luoshu, it turns out that its numerical range is a piece of cake--almost.

The United Nations Educational, Scientific and Cultural Organization Seoul Agenda for Arts Education (2010) calls for ensuring equitable access to arts education for all, strengthening the quality of arts education and harnessing its potential to contribute to resolving social and cultural challenges. In both South Africa and Denmark, a…

According to Every Student Succeeds Act, schools are accountable for the improvement of all children; including those with disabilities or difficulties, recently arrived English language learners (ELs) as well as long-term ELs, and all students for whom English is not their native language. To meet the accountability requirements, it is essential…

This document presents a review of evidence commissioned by the Education Endowment Foundation to inform the writing of the guidance report "Improving Mathematics in the Early Years and Key Stage One" (ED612298). The review aimed to synthesise the best available international evidence regarding teaching and learning of mathematics for…

In this article, we describe results of a reanalysis of two randomized studies that tested the effects of enhanced anchored instruction (EAI) on the fractions computation performance of students in special education resource rooms and inclusive mathematics classrooms. Latent class analysis and latent transition analysis classified students…