Derivative concept is one of the essential studies in calculus, which is studied in teaching mathematics. Prospective mathematics teachers who have completed their studies and later become teachers will teach derivative concepts to their students at school. Therefore, knowledge of derivative concepts is vital in transforming knowledge to students.…

The objective of this qualitative research is to study the mathematical work when solving a mathematical task in the domain of probability presented by Chilean high school mathematics teachers in pre-service and in-service training. We consider as theoretical support the Mathematical Working Space model and methodological design of a collective…

In our investigation of university students' knowledge about real numbers in relation to computer algebra systems (CAS) and how it could be developed in view of their future activity as teachers, we used a computer algorithm as a case to explore the relationship between CAS and the knowledge of real numbers as decimal representations. Our work was…

The initial training of mathematics teachers in Spain can start in the final year of the mathematics degree when the students, and future teachers, select courses related to teaching the discipline. At that time, since over the next two years they will probably be certified to enter the profession, it is worth asking oneself what mathematical…

Key studies in history education (from France and the USA) are discussed and compared in order to explore their methodological issues in terms of the types of knowledge they can generate about teaching and learning. An epistemological framework that relates the history of historians as an inquiry to that of the classroom provides the criteria for…

The aim of this qualitative case study is to investigate prospective mathematics teachers' subject matter knowledge of the underlying concepts of standard and nonstandard algorithms used to solve the problems with whole numbers. Twenty three prospective mathematics teachers enrolled in the Elementary Mathematics Education Program of one of the…

Lesson study is a form of professional development where a group of teachers identifies a problem of practice on which they would like to make progress in their teaching. Over an extended period of time, the teachers study the topic and plan a lesson together. One member then teaches the lesson while the others observe; the group reflects…

Purpose: The construction of learning scenarios is a way to plan for teaching activities, promoting the development of skills related to problem solving, collaboration, critical thinking and creativity. Using learning scenarios as a lesson planning strategy becomes a powerful tool in initial teacher education. On the one hand, it mobilizes…

Academic vocabulary knowledge is central to reading and academic achievement. Largely based in the lexicons of Latin and Greek, academic vocabulary comprises morphemic structures. Many teachers devote little time to focused instruction in this area because they may lack pertinent morphological and pedagogical knowledge. This article reports…

Given the teacher-as-technician view and the instrumentalist values that pervade professional schools, practices, and policy decisions (Kinsella & Pitman, 2012a; Zeichner, 2012) with regard to teacher qualification, evidence-based practices, and scripted curricula, there is growing concern that something of fundamental importance and moral…

Background: In this paper, I share a case study of a teacher's work on mathematics tasks in the context of a 'mathematics for teaching' course aiming to develop mathematical content understandings and mathematical practices among primary teachers in one South African province. The course was developed in a national context of concerns about the…

This study focuses on mathematics student teachers' epistemological beliefs in mathematics and education. The study aimed at gaining insight into the challenges that students experience in the consolidation of knowledge in the two disciplines. The case study with three mathematics pre-service teachers utilised mathematical and pedagogical…

In this paper we present a professional development course designed to impact on teachers' mathematical knowledge for teaching fractions. The main features of the course are the use of i) problem solving activities related with mathematical knowledge for teaching fractions ii) peer discussions and iii) monitor's interventions focused on answering…

The Common Core Standards require students to learn content and mathematical practices, and so teachers must have content knowledge and be able to engage in practices themselves. This raises the question of how novice teachers learn to engage in mathematical practices. I investigate pre-service secondary teacher learning of mathematical practices…

This study describes the word-problem solving instruction of one elementary special education teacher of Latino English Language Learners (Latino ELLs) with mathematics learning disabilities (MLD) in an urban school setting. This study was situated in a culturally responsive teaching framework. In investigating this instruction with Latino ELLs…