Inspired by the approach first employed by C.S. Holling in his classic "disc experiment," this article provides a sequence of learning activities that increase students' understanding of the mechanisms behind saturating effects in predator-prey scenarios. The proposed lesson is recommended for inclusion in courses that address…

The Brain-Based Teaching Approach is a strategy that implements methods from a brain-based learning (BBL) model. This approach was designed to be compatible with the inclinations and optimal functions of the individual brain to ensure that students can learn effectively. The module uses the Brain-Based Teaching Approach integrated with GeoGebra…

The development of modeling skills in mathematics is essential for individuals to understand, describe, control, and predict phenomena around them. This article describes the results of an investigation to find out how an activity -- based on a Models and Modeling Perspective -- stimulates the mathematics modeling skills of undergraduate students…

In response to the large number of high school students entering community colleges in the United States who are not prepared to begin college-level mathematics courses, and the poor success rates of students enrolled in the traditional prerequisite developmental courses that have been required for such students for many years, national attention…

Students enrolled in post-secondary developmental mathematics courses hold mathematical misunderstandings that begin before their college careers. Specifically, these students struggle with conceptual understanding of fractions, ratios, and proportions. The Common Core State Standards in Mathematics outline standards for K-12 mathematics…

This article discusses the findings of a case study that explored the use of explanatory talk in mathematics teacher education lessons on how to teach the concept of place value. The Mathematics Discourse in Instruction framework guided the study, in particular the element of naming in explanatory talk. Three teacher educators' lessons on the…

This study examines the perspective of a mathematics teacher educator (MTE) regarding the design and structuring of mathematics teaching method course in the elementary teaching education program. The research was designed as a single case study. The case was a teacher educator who has been delivering mathematics methods course for elementary…

This case study carried out during the 2020 coronavirus disease of 2019 (COVID-19) lockdown used online data collection means to investigate the distribution of cognitive demand levels of probability and counting principles (PCP) learning tasks in a popular online Grade 12 mathematics textbook, based on the PCP teachers' rating. The teachers'…

This research aimed to determine the difficulties that the students experience in inequality solutions that contain inequality in general and rational (proportional) expressions, and to solve these difficulties with an activity. Totally 108 students, who were enrolled in the Department of Mathematics and Science Education, consisted respectively…

Eliciting student thinking during mathematics instruction allows teachers to choose tasks with high cognitive demand while also engaging students to use productive struggle to solve mathematical problems, thus increasing their conceptual understanding. Often, students who require intensive intervention in mathematics, in particular, students who…

Digital media offer new opportunities to visualise mathematics and to engage students in interactive activities. The launching of digital teaching platforms in mathematics has, however, been met with some hesitation, and printed textbooks still play a substantial role in classrooms. This study addresses questions about how affordances of the…

A national-level dataset (n = 7770) at grade 1 of primary school is re-analyzed to study preconditions in proficiency in mathematical concepts, operations and mathematical abstractions and thinking. The focus is on those pupils whose preconditions are so low that they are below the first measurable level of proficiency in the common framework with…

The goal of this research is to make a theoretical reflection about connections that contributes to the development of the model for mathematical connections originally proposed by Businskas, and extended with the contributions of other researchers. This model is used in the most relevant investigations in this field. As a consequence of the…

In this work, we investigated through a case study the pedagogical discourse of the upper secondary school teacher when introducing the derivative concept. The subject was selected considering her experience and expertise in the field of mathematics education. Eleven class sessions were audio and video recorded, and three of them were transcribed…

The adverse influence of the presence of an irrelevant number and language inconsistency in a word problem is well known. Our study focused on the combination of these two variables and on the position of the irrelevant number in the word problem for Grade 6 pupils. The study has a mixed design. Item Response Theory was used to make equally able…