The goal of this paper is to present a succinct consolidation of the why, what and how of the 'Model' method as there is a lack of such documentation for researchers, practitioners and policy makers thus far. The 'Model' method is a tool for representing and visualising relationships when solving whole number arithmetic (WNA) word problems. The…

The purpose of this study was to establish the reliability and validity of the construct map for students' conception of equivalence with special emphasis on investigating the impact of structure of equation on students' conception of equivalence. The study examined the role of structure of equations in identifying students' conception of…

The purpose of this study was to evaluate the impact of using a combination of three Curriculum Associates' mathematics products: (a) "i-Ready® Diagnostic," (b) "i-Ready® Instruction," and (c) "Ready® Mathematics Core Curriculum" over use of "i-Ready Diagnostic" alone at grades K-5. Use of all three products…

In this paper, I wish to reply to the questions posed by Gascón & Nicolás (2017) about the (possibly) prescriptive nature of the research results in didactics of mathematics: To what extent, how, under which conditions can (or must), didactics set value judgments and normative prescriptions in order to provide criteria about how to organize…

The learners and teachers of the teaching-learning process highly depend on online learning systems such as E-learning, which contains huge volumes of electronic contents related to a course. The multi-document summarization (MDS) is useful for summarizing such electronic contents. This article applies the task of MDS in an E-learning context. The…

The concept of teacher noticing has been a powerful methodological tool for understanding teachers' decision-making and professional judgment. In this line of inquiry, researchers usually try to identify elements of classroom practice salient to teachers. Data about teacher noticing and decision making can be collected at scale through the use of…

Recently, the field of adaptive learning has significantly attracted researchers' interest. Learning path adaptation problem (LPA) is one of the most challenging problems within this field. It is also a well-known combinatorial optimization problem, its main target is the knowledge resources sequencing offered to a specific learner with a specific…

This note deals with some variants of the integral mean value theorem. Mainly a variant of Sahoo's theorem and a variant of Wayment's theorem were proved. Our approach is rather elementary and does not use advanced techniques from analysis. The simple auxiliary functions were used to prove the results.

Isomorphism and homomorphism are topics central to abstract algebra, but research on mathematicians' views of these topics, especially with respect to sameness, remains limited. This study examines 197 mathematicians' views of how sameness could be helpful or harmful when studying isomorphism and homomorphism. Instructors saw benefits to…

We believe that professional mathematicians who teach undergraduate mathematics courses to prospective teachers play an important role in the education of secondary school mathematics teachers. Thus, we explored the views of research mathematicians on the mathematics that should be taught to prospective mathematics teachers, on how the courses…

This quantitative descriptive study aims to describe the Mathematical Literacy of Grade 5 of Primary Students regarding their mathematical problem-solving abilities. The samples of this study were 35 5th-gradestudents at Muhammadiyah Condongcatur Elementary School in academic year 2017/2018. The data were collected through observations and tests…

This study explored the trends in students' achievement in Senior School Certificate Examination (SSCE) in Further Mathematics in Kwara State, Nigeria. The study adopted descriptive research design of ex-post factor type. The sample comprised all Further Mathematics students in 79 public senior secondary schools with 3 Local Government Areas in…

Project-based learning supports unique and authentic problems in differential equations courses. An intuitive, interesting and deep differential equations project is described. The description illustrates a case study of guiding students through a complex project and the technical and personal rewards gained from it. Valuable advice is provided to…

Background: In the US, there is significant interest from policy boards and funding agencies to change students' experiences in undergraduate mathematics classes. Even with these reform initiatives, researchers continue to document that lecture remains the dominant mode of instruction in US undergraduate mathematics courses. However, we have…

This article provides an overview of a modeling sequence that culminates in student reinvention of a bifurcation diagram. The sequence is the result of years of classroom-based research and curriculum development grounded in the instructional design theory of Realistic Mathematics Education. The sequence of modeling tasks and examples of student…