Mathematics is frequently considered as value-free, centering entirely on abstract reasoning. However, more often than not, the teaching of values in mathematics classrooms takes place implicitly through the actions of the teacher. The role values play in mathematics learning is also a growing area of interest and is now viewed by many as a…

In this note, we report on an implementation of discovery-oriented problems in courses on Real Analysis and Differential Equations. We explain a type of task design that gives students the opportunity to conjecture, refute and prove. What is new is that the complexity in our problems is limited and thus the tasks can also be used in homework…

What constitutes effective teaching of arithmetical skills in early school years is still uncertain. Finger use could play a crucial role in this acquisition, but some children do not use them spontaneously and studies would be necessary to know if it is possible to teach them. This research assesses the impact of a teacher-implemented…

Spatial ability is an ability to visualize an object in space. In learning geometry, the spatial ability is required to solve geometric problems. One of the learning models that can be applied in the learning process to improve students' spatial ability is Van Hiele learning model. Van Hiele learning model is a learning model based on Van Hiele…

This study aims to study the effectiveness of jumping task application based on creative problem solving in improving students' problem-solving abilities. The study was applied triangulation method, namely qualitative and quantitative methods. The research subject is eighth grade of Junior High School students. The research sample consists of…

Generating a problem that addresses multiple course learning objectives can be a challenging, but worthwhile exercise for a professor. These types of problems are particularly useful late in a course to help students tie together seemingly disparate concepts to solve an integrated problem that requires them to review concepts mastered throughout…

The U.S. educational system is undergoing rapid and substantial changes with many states grappling with the adoption of the Common Core State Standards in Mathematics (CCSSM). Important research questions remain unanswered regarding the potential efficacy of the CCSSM to improve student math performance compared with students around the globe.…

Many teachers of required secondary school mathematics classes are introducing statistics and probability topics traditionally relegated to college or AP Statistics courses. As a result, they need guidance in preparing lesson plans and orchestrating effective classroom discussions. In this article, the authors will describe the students' learning…

Principal Component Analysis (PCA) is a highly useful topic within an introductory Linear Algebra course, especially since it can be used to incorporate a number of applied projects. This method represents an essential application and extension of the Spectral Theorem and is commonly used within a variety of fields, including statistics,…

Common situations, like planning air travel, can become grist for mathematical modeling and can promote the mathematical ideas of variables, formulas, algebraic expressions, functions, and statistics. The purpose of this article is to illustrate how the mathematical modeling that is present in everyday situations can be naturally embedded in…

Forty 4th and 9th grade students participated individually in tutorial interviews centered on a problem-solving activity designed for learning basic algebra mechanics through diagrammatic modeling of an engaging narrative about a buccaneering giant burying and unearthing her treasure on a desert island. Participants were randomly assigned to…

Elementary mathematics teachers in Maryland are required to teach according to the Maryland College and Career-Ready Standards (MCCRS). Implementation of these standards requires teachers to understand and implement instructional shifts that are unlike the way most of them were taught mathematics in elementary school. Consequently, educator…

The Pandemic has required teachers to find ways to provide high-quality instruction in a virtual format. Video-based instruction (VBI) is a version of technology-aided instruction that has been effectively used in classrooms to improve mathematical outcomes for students with disabilities. This manuscript describes how a special education teacher…

This paper describes the main findings of a national action-research project, promoted by Regional School Office of Campania (South of Italy), aimed at improving numeracy and mathematical literacy through supporting schools' activities. The main focus is on processes underlying the creation of capabilities in representation, reasoning and…

Education stakeholders and researchers in South Africa have emphasised the need to enhance teachers' creativity through problem-solving tasks. Teachers' creativity entails using new ideas of creative devices to solve problems, implement solutions, and make learning more effective. In the research reported on here, Guilford's theory was used to…