Quantitative reasoning is defined as reasoning about relationships between items, measurements of objects, and quantities rather than numbers. Both in the transition from arithmetic to algebra and in the problem-solving process, quantitative reasoning is seen as a critical instrument for the development of students' mathematical skills. In the…

This case study describes a Q methodology study which captured and analyzed the viewpoints of 45 UK teachers online. The teachers might liken their participation in the study to a "card sort" activity: their relative placement of statement cards revealed their opinions of mastery in mathematics. Factor analysis of the completed sorts…

This study was conducted during the first semester of 2016, from March 21st to June 30th, with 104 students, in eight educational centers or "polos," in the states of Minas Gerais and São Paulo. Previously, these mathematics teacher education students had no opportunity to study in higher education in Brazil. They were enrolled in a…

Evidence-based education has become more relevant in the current technology-enhanced teaching-learning era. This paper introduces how Educational BIG data has the potential to generate such evidence. As evidence-based education traditionally hooks on the meta-analysis of the literature, so there are existing platforms that support manual input of…

This article presents a case study that examines the level of integration of mathematical knowledge in physics problem solving among first grade students of upper secondary school. We explore the ways in which two specific students utilize their knowledge and we attempt to identify the epistemological framings they refer to while solving a physics…

The perspectives of special education teachers on the strategies used to teach mathematics to special education students were examined in this dissertation. Three central research questions that guided the study are: (a) What were New York special education teachers' opinions about the methods they use to teach mathematics to special education…

Evaluation of professional development (PD) has traditionally been composed of summative and formative feedback, and has focused on assessing the extent to which the PD impacts participating teachers' knowledge, beliefs, and practices. This study establishes an additional purpose for PD evaluation--as "educative opportunities" for…

The aim of this study is to describe the mathematical thinking process of autistic students in terms of gesture, using a qualitative approach. Data collecting is conducted by using 3 (three) audio-visual cameras. During the learning process, both teacher and students' activity are recorded using handy cam and digital camera (full HD capacity).…

This paper reports on a study about how the mathematics textbook was perceived and used by the teacher in the context of a calculus part of a basic mathematics course for first-year engineering students. The focus was on the teacher's choices and the use of definitions, examples and exercises in a sequence of lectures introducing the derivative…

Self-regulated learning is an elaborate metacognitive process consisting of an individual's awareness of the thought process, flexibility in one's approach to problem solving, and motivation to persist through obstacles until a goal has been met. Strategies and instructional practices used to develop mathematically proficient thinkers also develop…

This paper focuses on a specific aspect of formative assessment, namely questioning. Given that computers have gained widespread use in learning and teaching, specific attention should be made when organizing formative assessment in computer learning environments (CLEs). A course including various workshops was designed to develop knowledge and…

The purpose of this case study was to discover and describe the components of a "double-dose" math intervention that resulted in increased mathematics achievement for high school Algebra I intervention participants in an effort to inform local decisions regarding program improvements and to provide insight to other educators…

This dissertation study describes the nature of the mathematical knowledge required to teach a unit on exponents at the secondary school level, and further explores the adequacy of extant theoretical models for characterizing that knowledge. Researchers agree that teacher content knowledge contributes to teaching quality, which in turn contributes…

Lesson study, a form of school-based professional development widely practiced in Japan, has gained popularity in the United States over the last two decades. However, research on its effectiveness has been limited in scope, typically conducted shortly after the conclusion of the professional learning and focused primarily on the practices of…

The introduction of the subject Mathematical Literacy (ML) as part of the education reform process, led to the development of many large scale in-service programmes designed to train practising teachers to teach the new subject. The purpose of the study is to examine the challenges associated with providing in-service training for teachers of ML,…