Mathematics majors, including future secondary teachers, should understand the work of pure mathematicians and the crucial role proof plays for the discipline of mathematics. Beyond the textbook proofs seen in most transition-to-proof courses, we conjectured that students might develop a deeper understanding of the discipline of mathematics and…

This paper presents the design and analysis of a Model-Eliciting Activity (MEA), which aims to support the refinement of the conceptual system associated with directly proportional distribution problems (example: linear function, percentage, proportion, variation, etc.). The situation explores a context that is close to the student, encouraging…

We describe an instructional intervention designed to help teachers engage English learner (EL) students in mathematical problem solving and learn the mathematics register. The "Discursive Assessment Protocol" (DAP) integrates Pólya's classic problem solving framework with research-based instructional strategies that benefit EL students.…

In the spirit of the networking of didactical theories, it is advocated in this presentation in favor of a mixed networking of philosophical theories, namely Husserlian phenomenology and hermeneutics, and didactical theories to produce a fertile interplay between philosophy and mathematics education. The cross-analysis of students' work on a…

States' commitments to tackling long standing inequities have been stifled by missing data, long delays, insufficient data-analysis tools, and the excessive reporting burden placed on states and institutions. If states hope to achieve their completion and equity goals, they need access to data that does not leave them guessing--so they can…

Problem-based learning (PBL) is a pedagogy where students gain knowledge about a subject through solving an ill-structured problem. Critical thinking skills (CTS) are the capacity to think about what to do or what to consider by an individual. This study sought to decide if using Problem-based Learning (PBL) improves the critical thinking skills…

Improving problem solving abilities among students remain to be a challenge among teachers and students. This study aimed to identify problem solving ability of first year students as affected by cognitive development levels and teaching strategies of first year high school students in Mathematics I. The study utilized descriptive and experimental…

The human capital in the Zimbabwean labour market lacks the capacities to critically and creatively address technological, economic and industrial challenges. The new education policy, Education 5.0 requires graduates to design solutions to these problems. This conceptual paper demonstrates that the required creative and critical skills necessary…

This is a visionary, consciousness-raising book that asks us to rethink the purposes and design of study away and study abroad experiences in the context of a broadened set of global threats, including climate disruption, soaring inequality, ecosystem breakdown, the dying off of distinct languages and cultural communities, and the threat of a…

This study aims to describe the ability of students' mathematical connections in solving problems in the circle equation material through transposition studies. The method in this research is a descriptive qualitative approach, the techniques used in the study are tests, interviews, and documentation to explore data in research. Test and interview…

This is a review of experimental research in which students have been taught to pose mathematical problems as a means of developing their learning. Hence, the aim of the research is to combine the empirical evidence regarding the functionality of problem posing strategies and to explore the aspects which could influence the integration of problem…

GeoGebraBook is a pedagogical resource in the form of a digital book created and developed for free on the GeoGebra online page. This paper presents preliminary research using GeoGebraBook to support explaining the area of a flat figure and the volume of a solid. The study was based on qualitative and quantitative research and involved forty-four…

Despite generous funding, the current data shows slow-moving demographical changes in STEM (science, technology, engineering, and math) fields, and little to no slowing in the decline of STEM-associated career interests in underserved communities (Leeker, Maxey, Cardella & Hynes, 2019). While a considerable amount has been written about the…

This brochure describes how the Making Schools Work process employs a distributed leadership approach to involve the whole school in identifying problems that impact achievement and developing plans to solve them. SREB's Making Schools Work school improvement process is grounded in the belief that increased achievement starts with motivating…

Despite decades of passing civic initiatives to revitalize civic education, youth citizen participation, and young adult voter registration is low--most youth cannot even name one member of U.S. Congress. It also cannot be assumed youth will naturally become civically engaged and aware through their family and community. In addition, people of…