In the evolving landscape of 21st-century education, inquiry-based learning (IBL) has emerged as a leading pedagogical framework to foster critical thinking, problem-solving, and conceptual understanding in students. However, the effective integration of IBL in primary school mathematics education remains a complex challenge, particularly in the…

This paper is a practical how-to guide to help you start using active learning or to have greater success and more fun with it. We categorize active learning techniques as Think, Pair, Share, Composite, Group, Move, or Lead and discuss how to implement activities in each category, along with advice on creating engaging, effective, and equitable…

Physical experiments in classrooms have many benefits for student learning, including increased student interest, participation and knowledge retention. While experiments are common in engineering and physics classes, they are seldom used in first-year calculus, where the focus is on solving problems analytically and, occasionally, numerically. In…

In this paper, we discuss mathematical modeling opportunities that can be included in an introductory Differential Equations course. In particular, we focus on the development of and extensions to the single salty tank model. Typically, salty tank models are included in course materials with matter-of-fact explanations. These explanations miss the…

Mathematics is the language and foundation for the science, engineering, and technological fields that define and enhance our lives in the 21st century. Proficiency in math requires problem solving, logical reasoning, and critical thinking skills that are essential to success in college, the workplace, and everyday life. Unfortunately, math has…

The current research implemented the Predict Observe and Explain (POE) instructional approach in mathematics and examined its efficacy in enhancing students' understanding of functions in terms of their ability to connect algebraic and graphical representations in optimization problems. Two grade 11 classes (40 students in total) and two grade 10…

The aim of this study is to reveal the impact of Inquiry-Based Learning (IBL) on students' ability to come up with the rules of divisibility themselves and on their academic achievement in the 8th grade Mathematics course as well as to obtain students' views on the learning and teaching process, through the use of a mixed-methods sequential…

This study scrutinizes the influence of project-based learning (PBL) and inquiry-based learning (IBL) on fourth graders' teamwork skills and critical thinking in math classes. A historical review reveals that while they have positive effects in multiple fields, their sole use in elementary math teaching is yet to be explored. 55 fourth-grade…

In this paper, we discuss our experience in collaborating with mathematicians to increase their use of active learning pedagogy in a proof-based linear algebra course. The mathematicians we worked with valued using active learning pedagogy to increase student engagement but were reluctant to use active learning pedagogy due to time constraints.…

Background/purpose: This study aimed to enhance the teaching skills and professional attitudes toward teaching pre-service teachers through the integration of Project-Based Learning (PjBL) by teaching one-on-one and reflective learning. Materials/methods: The participants were 29 second-year mathematics pre-service teachers enrolled in the…

In the last six years, computer-assisted mathematics education (CAME) in project-based learning (PBL) has been conducted in a relatively large part of the learning environment. However, using CAME in the PBL has an inconsistent effect on Indonesian students' mathematics achievement. A meta-analytic review was used to estimate and examine the…

A key challenge in implementing inquiry-based learning in mathematics has been raising teachers' confidence and skills with unfamiliar pedagogical practices. The nature of inquiry in particular challenges traditional notions of teaching mathematics that dominate the field. Few studies have explored how teachers' perceptions of the nature of…

This research study examined inclusive teaching practices, class policies, and course structures in active learning Calculus classes. Analyzing interview data, along with focus group discussions and classroom observations, obtained from 23 students and 4 instructors, themes were extracted through open-coding methodology, employing scholarly…

I explore some facts about the area, position, etc. of the Steiner ellipse using GeoGebra and numerical analysis. Students can use these for mathematical inquiry.

Math learning in early childhood is critical for later success, as it is predictive of mathematical and academic achievement through adolescence. Therefore, developing engaging and effective methods for early math instruction are important. Math games are a common method for teaching math in a way that is motivating and engaging for young children…