The purpose of the present research is defining the direction and level of the relationship between 8th grade students' translating among multiple representations skills and their algebraic reasoning and revealing the predictive power on algebraic reasoning. The research was conducted in accordance with relational survey model, which is a…

The aim of this research is to advance in the teaching-learning process of representing quadratic functions, both with pencil and paper and with a technological tool. For this purpose, a didactic experience is presented. Firstly, it is explained in the traditional way how to graph a quadratic function; secondly, students are introduced to the…

Using multiple external representations is advocated for learning in STEM education. This learning approach assumes that multiple external representations promote richer mental representations and a deeper understanding of the concept. In mathematics, the concept of function is a prototypical content area in which multiple representations are…

A key element of statistical literacy is the construction and interpretation of graphs. In this article, the author uses examples of student work (Years 3 and 4), at an Australian school, to show some of the complex steps involved in creating a formal graph from a data table. Over time the student's observations and understanding become more…

The purpose of this study was to explore how students with high- and low-prior-knowledge employed multiple representations in argumentation evaluation and generation tasks. The argumentation performance and eye-movement behaviors of 96 college students in these tasks were investigated. The number of participants who proposed complex argumentation…

The study attempts to know the extent of enrolment, and retention rate of tribal students at upper primary stage and provide a comparative picture of tribal with respect to gender and educational zones of Ganderbal district. Descriptive survey has been used in present study. Using Information Blank, the primary information about student enrolment…

This study aims to determine the views of social studies and geography teachers on their table, graphic, diagram interpretation and preparation skill (TGDI-PS). In according with this study, the research was designed in the mixed method, in which both quantitative and qualitative data collection instruments were used together. The research was…

Citizen science is transforming the ways scientific knowledge is created, in that citizens participate in active scientific research, and large scientific databases can be accessed online. However, data availability does not guarantee public use or the relevance of these resources. This paper addresses the ways in which non-expert adults involved…

The purpose of this case study was to examine prospective mathematics teachers' lessons in the context of choice and use of representations while teaching limit. The participants were four senior prospective mathematics teachers. The data were obtained from the participants' lessons plans, the video recordings of their lessons, and the…

This research was motivated by several studies which show that students have difficulties in understanding the material ratio, wherein one contributing factor is the lack of ability in proportional reasoning. The purpose of this study is to produce a trajectory of learning to help students develop abilities in comparison reasoning. Solution…

In this paper, the authors present results of their pilot research on nonverbal elements' perception. They pay attention to a not yet well established system of evaluation in mathematics textbooks from the perspective of nonverbal elements and sum up their findings from pilot researches on pupils' operations with nonverbal elements. Pilot surveys…

This study reports on the development, validation, and administration of a 48-item multiple-choice test to assess students' representational fluency of linear functions in a physics context (1D kinematics) and a mathematics context. The test includes three external representations: graphs, tables, and formulas, which result in six possible…

The purposes of this research are: (1) description of reading skill the students who join in CIRC learning model, Jigsaw learning model, and STAD learning model; (2) finding out the effective of learning model cooperative toward a reading comprehensions between the students who have high language logic and low language logic; and (3) finding out…

In light of the recent growing interest in conceptual learning and teaching of calculus, and especially with the focus on using technological environments, our study was designed to explore the learning processes and the role played by multiple-linked representations and by interactive technological environment in objectifying the accumulation…

This project is for a team of students (groups of two or three are ideal) to design and construct a model of a single-span bridge, using plastic drinking straws as the building material. All steps of the design, construction, testing and critiquing stages should be recorded by students in a journal. Students may like to include labelled diagrams,…