This study examined the effect of collaborative learning with a scientific approach (SA) on the learning achievement in mathematics viewed from the students' multiple intelligences. This study compared two types of collaborative learning models, Three Steps Interview (TSI), and Think Pair Share (TPS). The participants of this study were grade 8…

In this study, we aimed to examine a mathematics teacher's actions related to triggering and considering divergent thoughts on the lessons before, during, and after the lesson study process. The participant was a mathematics teacher who participated in a lesson study design. We focused on his lessons before, during, and after the lesson study. The…

The literature emphasizes the interest and need to learn the concept of continuity with understanding, although this meaning it is not consensual nor specified how it may emerge and be developed in the learning process. In this paper we report the results of a study aiming to analyse Brazilian preservice mathematics teachers' understanding of the…

This study investigates how a sample of middle school mathematics teachers interpret and use compulsory textbooks in the Turkish classroom context based on their: (i) purposes of using textbooks; (ii) frequency and duration of using textbooks; (iii) approaches to using textbooks; and (iv) preferences concerning an ideal mathematics textbook. The…

To achieve the goal of 100% proficiency for all students in mathematics, a middle school in a large urban public school district in Omaha, Nebraska increased the frequency of instructional time in mathematics instruction for a group of seventh and eighth grade students. The purpose of this study was to determine if there was a difference in the…

Teaching introductory statistics to postgraduate students from multidisciplinary background and with diverse mathematics ability is a huge challenge that many statistics lecturers do not deny. The large ability range can make it very difficult for lecturers to fine tune the right level for effective course delivery. Even though an introductory…

"When you hear hoofbeats, look for horses, not zebras." This common saying in medicine (often attributed to Theodore Woodward, MD, of the University of Maryland School of Medicine) advises doctors to stick to the expected or likely diagnosis, rather than anticipating an unusual or atypical one. As a result, uncommon medical diagnoses are…

What constitutes learning in the 21st century is the capacity for e-learning. Integral components of e-education are training content management systems. Existing content generators more transform content than create original content. Creating a methodology and technology for generating original content is important and relevant. In order to form…

The learning environment has been found to be related to mathematics anxiety at a variety of educational levels, including higher education, but to date has not been investigated in relation to preservice teachers. It has been previously found that preservice teachers often harbour high levels of mathematics anxiety, and that mathematics-anxious…

Mathematics teachers' ability to translate and make connections between representations of functions requires investigation. Consequently, this qualitative case study article focuses on pre-service mathematics teachers' nature of understanding of the tangent function; a function bearing unique characteristics compared with the sine and cosine…

In this paper it is demonstrated how the free, and easily downloadable, software package called SMath Studio can be used to set up a model of alpha-particle scattering. The basic physics of the motion of an alpha-particle in the nuclear coulomb field is used to produce a simple stepwise computer algorithm which, in conjunction with a novel set of…

The metaphors that students form and encounter have been shown to exert a powerful influence on how they think about mathematics. In this paper, we explore the linguistic metaphors about learning and doing mathematics that were prevalent in 11 advanced mathematics lectures. We present four metaphor clusters that were common in the corpus that we…

Textbooks, which form the staples of a teacher's set of resources, play a critical role in deciding what and how mathematics is taught in classrooms. However, textbooks do not always present concepts in ways that enhance understanding by students, nor are they always comprehensive in the treatment of a topic. In this exploratory study, we analyse…

Global economic and societal shifts are causing movement from manufacturing economies to knowledge and information industries. As a result, learners must be equipped with the 21st century skills necessary for lifelong skill development and prosperity. Communication is identified as one of the essential 21st century skills for preparing students…

In this paper, we build on a previously developed notion of 'learning as Making' to examine mathematics thinking and learning in a highly transformative and technological Making environment: one that involves a handheld 3D printing technology which enables 3D models to be created instantly via one's moving hand. In particular, we present two…