This paper introduces a model built upon the Method of Varying Inquiry, offering a didactical approach to problem posing and solving activities that stimulates inquiry-based learning in mathematics classrooms. The model combines the inquiry-based framework with the variation theory and with specific didactical and theoretical elements (the…

This generation of students enters a workforce that increasingly demands interdisciplinary thinking to solve complex problems and create sustainable value. The global pandemic, climate crisis, and state of social inequality call for future business leaders to practice a broader intellectual vision to "see" across domains and apply…

Simplified, reductionist approaches to curriculum design and delivery are pervasive in science education. In ecological curricula--particularly in, but not limited to K-12--biomes, ecosystems, habitats, and other units of study are simplified and presented as static, easily identified and described entities. Characteristics, components, and…

Increasing the performance of secondary students with learning disabilities (LD) in mathematics on word problem-solving tasks involving ratios and proportions is challenging for secondary math teachers. Teachers must use evidence-based practices to enhance secondary students' problem-solving proficiency and math achievement. Schema-based…

Test writing is a fundamental component of teaching. With increasing pressure to teach larger groups of students, conduct formal assessment of learning outcomes, and offer online and hybrid classes, there is a need for alternatives to constructed response problem-solving test questions. We believe that appropriate use of multiple-choice (MC)…

In this paper duality between real world phenomenon and mathematics will be discussed. This duality exists for many years which considerably remarked in the history of mathematics curriculum. One of the good potential for filling the gap between real world phenomenon and mathematical ideas would be modelling tasks which require performing the…

Math and language are inextricably connected. Math cannot be taught without naming certain concepts and finding ways to express mathematical ideas. With the increasing demands on teachers to meet the needs of diverse learners, the role of language development in the mathematics classroom must be at the forefront of instruction. Identifying and…

Decades of research has shown that example-based learning is an effective instructional strategy for learning new skills. The field of learning from examples is seeing a shift in focus towards more innovative and use-inspired research, in part because the use of examples for informal and formal learning purposes has mushroomed. This special issue…

We share a flipped class approach to university calculus-based general physics that shows increased learning and high student satisfaction compared to traditional lecture classes.

Research has shown that the ways in which teachers engage in professional development activities vary widely. identified three levels of teacher appropriation within professional development, with their inquiry stance indicative of teachers engaging in self-sustaining practices. In our project, we modified the demonstration lesson format so that…

Educators need collaborative opportunities to renew their love of learning, not just to review data and rework lessons. Researcher Ian Parker Renga and coauthors examine the power of Math Teachers' Circles--a group of educators that get together to play math games and solve problems just for the joy of it.

This paper invokes cognitive developmental theory as a means for preparing citizens to deal with and resolve conflicts within or across nations. We take the centuries-old Greek-Turkish dispute as an example. We first outline a theory of intellectual development postulating that mental changes emerge in response to changing developmental priorities…

A key factor in a child's healthy development is resilience, which allows a child to have an adaptive response to hardships even when exposed to a toxic environment or adversity. Resilience is the interplay between a child's positive environment and adaptive and coping skills outweighing risk factors and adverse experiences to create a positive…

"Productive Struggle" refers to a strategy that gives students an opportunity to increase their background mathematical knowledge. Productive Struggle helps students connect key concepts, determine how and where an error occurs, and supports students in figuring out how to use their own thinking and reasoning skills to correct an error.…

The National Association for Gifted Children and The National Council of Teachers of Mathematics both call for problem posing. This article illustrates the strategies used during a series of three Three-Act Tasks to foster second grade students' abilities to problem pose. The students' problem posing improved across the three Three-Act Tasks and…