Geometry provides a natural window into what it is like to do mathematics. In the world of geometry, playful experimentation is often more fruitful than following a procedure, and logic plus a few axioms can open new worlds. Nonetheless, teaching a geometry course in a way that combines both rigor and play can be difficult. Many geometry courses…

Identifying mathematical and didactical conditions under which mathematics learners can encounter an intellectual need for defining and proving is recognized as a challenging research enterprise. This paper presents a particular configuration of conditions under which a group of pre-service mathematics teachers successfully constructed a…

This study looks at a mixed ability group of 21 Year 5 primary students (aged 9-10 years old) who had previously never had formal instruction using letters to stand for unknowns or variables in a mathematics context; nor had they been introduced to formal algebraic notation. Three lessons were taught using the computer software "Grid Algebra"…

This paper shows how to teach a mathematics for liberal arts class in an inquiry-based way using ideas from music to launch the mathematical activities. No musical knowledge is required to understand and teach the material. The main activity is analyzing the differences between two kinds of rhythmic palindromes. The content is mathematically…

Dewey's conception of scientific explanation, which has been neglected by both philosophers of science and philosophers of education, facilitates overcoming the seeming divide between teaching a highly technical and specialized subject matter and encouraging students to successfully engage in the experience of being philosopher-scientists. By…

Introduction: Nowadays, language and intercultural competences have become core employability skills in many fields, supporting the development of other skills which emphasizes the necessity for specific pedagogic approaches in developing online learning materials and courses that would develop learners' language competence and other relevant 21st…

A central goal of nonmajors chemistry courses is to instill within students the sense that chemistry does not occur in a vacuum but rather permeates everyday life. To encourage students to consider chemistry within the broader context of society and public policy, a week-long module in a survey course for nonmajors was designed to connect…

Comparing multiple solutions to a single problem is an important mode for developing flexible mathematical thinking, yet instructionally leading this activity is challenging (Stein, Engle, Smith, & Hughes, 2008). We test 1 decision teachers must make after having students solve a problem: whether to only verbally discuss students' solutions or…

This research was conducted in order to know the effect of Logan Avenue Problem Solving (LAPS)-Heuristic learning model towards critical thinking skills of students of class X Office Administration (APK) in SMK Negeri 1 Ngawi, East Java, Indonesia on material curve and equilibrium of demand and supply, subject Introduction to Economics and…

The primary aim of the study was to study the effect of constructivist approach of teaching on the learning of English Language on Primary School Students. The study consisted of 60 students of class VI from Janta Brahmi Sr. Secondary School, Nathupur, Sonipat. A single quasi experimental pre-test and post-test design was applied in the present…

This article describes a two-day lesson in which fifth-grade students took on the role of marine biology scientists, using their critical-thinking and problem-solving skills to explore human impact on the blue crab ecosystem. The purpose of "Crabby Interactions" was to help students understand the impact of human activities on the local…

In this first of a two-part series, the authors report that STEM is still mostly science and mathematics, taught separately with little or no attention to technology and engineering. Where connections do get made to technology and engineering, too often they happen through several disconnected projects that lack coherence in content standards and…

Learning physics often requires overcoming common misconceptions based on naïve interpretations of observations in the everyday world. One proposed way to help learners build appropriate physics intuitions is to expose them to computer simulations in which motion is based on Newtonian principles. In addition, playing video games that require…

Middle school algebra students (N = 125) randomly assigned within classroom to a Problem-solving control group, a Correct worked examples control group, or an Incorrect worked examples group, completed an experimental classroom study to assess the differential effects of incorrect examples versus the two control groups on students' algebra…

Within the "Australian Curriculum: Mathematics" the Understanding proficiency strand states, "Students build understanding when they connect related ideas, when they represent concepts in different ways, when they identify commonalities and differences between aspects of content, when they describe their thinking mathematically and…