Curriculum and cognitive level alignment among the intended, the enacted, and the assessed curricula were explored and measured. In particular, the focus of the study was on two domains: content/operations and cognitive levels/processes. Results indicated that cognitive level alignment among the intended, enacted and assessed curricula was 0.07.…

This article reports on the implementation of a mathematical modeling activity about renewable energy. The activity was first implemented with twenty-four 10th grade students in a state high school in Turkey and lasted 2 lesson hours. Then, the revised version of the activity was implemented with four 10th grade students. Students built a…

Abstract concepts of mathematics are always difficult for the students to comprehend. These concepts are a continuous source of low achievement in mathematics. A study was conducted to explore the effect of Synectics Model of teaching in enhancing understanding of abstract concept of mathematics. It was a form of quasi-experimental study using…

We examine the case of a lesson planning session within the context of professional development for dialogic instruction, and the lesson enacted following this session, which was intended to provide opportunities to 11th and 12th grade algebra students to explore polynomial functions in terms of their roots and linear factors. Our goal was,…

Despite the role of agency in schools, few researchers have addressed the issue. The present study aims to analyze the relationship between agentic engagement, basic psychological needs, and test anxiety by using structural equation modeling. For this purpose, 289 female students in math-physics and basic sciences were selected as the samples by…

Experience-Language-Pictorial-Symbolic-Application [ELPSA] is a learning framework that presents mathematical ideas through a cyclic design. The ELPSA framework which can be used to develop mathematics lessons and units of work that build students' concept understanding is described here.

The sudden perception of a connection between ideas is exhilarating. We might call these moments 'Aha!' moments. The purpose of this paper is to demonstrate how several different ideas can come together in Year 12 mathematics. The subject Further Mathematics in the Victorian Certificate of Education (VCE) is the Victorian adaptation of General…

Curriculum as a blueprint for the development and delivery of education in a country has been viewed from varied perspectives. Aoki (2004) gave three perspectives to school, which are the "rational thinking", "doing" and "being and becoming". The first perspective connotes that teaching seeks to provide learners with…

Streaming students in secondary mathematics classrooms is a common practice in the province of Ontario, although there is conflicting evidence of its benefits. In this province, three streams of mathematics are available in grade 9. One of these streams, termed "locally developed," is based on the idea that school boards and teachers…

A common goal for mathematics teachers at any grade level is for "all" students--not just future mathematics teachers--to develop deep understanding of the mathematics they are learning and using. To that end, this lesson can be used in an upper-level high school mathematics course to introduce the concept of a radian in a way that…

A study with prospective teachers without prior mathematical modeling experience sheds light on how their newly developed conceptual understanding of modeling manifested itself in their work on the final task of a modeling module within a pedagogy course in secondary mathematics curriculum and assessment. The main purpose of the module was to…

The purpose of the study is to determine a latent structure of variables that explain the level of anxiety towards mathematics of high school students based on the interaction that the student has with the tasks, courses and math exams. For this purpose, the RMARS mathematical anxiety scale was used, which has a Likert-type scaling. The instrument…

Background: Research on educational leadership has transcended the international sphere. Numerous studies have been developed on this factor of educational improvement. Few is their number, contextualized in the mathematics area and specifically the teachers. Methods: This paper presents a systematic review that highlights the importance of school…

We build on research connecting teaching assignments to teacher effectiveness by examining the characteristics of secondary grades mathematics teachers with more course preparations--both the unique number of courses taught and courses never taught before--and by assessing whether additional course preparations predict teacher value-added.…

Too many students struggle to learn mathematics, and yet learning mathematics is important (House, 2011). Teachers need to improve their efforts to help all students learn mathematics. An increase in teacher efficacy through professional development for the teachers will help the struggling students (Jerald, 2007). This research shows that this…