With regard to the growing interest in developing teacher education to match the twenty-first-century skills, while many assumptions have been made, there has been less theoretical elaboration and empirical research on this topic. The aim of this article is to present our pedagogical framework for the twenty-first-century learning practices in…

It is widely accepted in the mathematics education community that pedagogies oriented toward inquiry are aligned with a constructivist theory of learning, and that these pedagogies effectively support students' learning of mathematics. In order to promote such an orientation, we first separate the idea of inquiry from its conception as a…

21st Century skills such as critical-thinking and problem-solving skills are very important when it comes to Science Technology Engineering and Mathematics or STEM. But those same skills should be integrated in social studies. The impact of students' learning in social studies as a result of implementing inquiry-based instructional strategies was…

How can educators immerse high school students in a real murder case investigation that will require them to draw upon and practice the critical thinking, literacy, and reasoning skill sets so highly valued under the Common Core, the C3 Framework and the 21st Century skills rubric? As an attorney and former high school teacher, the author knew…

For decades, researchers have asserted that K-12 teachers should embed reading comprehension instruction within each academic discipline, including "technical subjects" such as engineering. Recently, this assertion has become a source of controversy among researchers and practitioners who believe that time spent on teaching reading…

This case-study explores the impact of a 12 week in-class intervention designed to encourage creativity, inquiry and exploration as a normal and expected part of mathematics lessons, with a particular focus on supporting the learning of highly capable and gifted students. Fred is a mathematically highly capable grade five student whose personal…

This article examines the ways in which art and aesthetics provide powerful and rich models for inquiry and connection, facilitating fresh perception, conceptualization, and engagement in qualitative research. The very engagement with research parallels the engagement with the arts. In this engagement, problem setting and problem solving, the…

Educators know that creativity and innovation involve questioning and the capacity to frame topics as problems to be solved. They know that we are living in a time of a new generation of standards, including the Common Core State Standards (CCSS). In the U.S., compliance with these standards requires that educators encourage students to ask…

Ill-structured tasks presented in an inquiry learning environment have the potential to affect students' beliefs and attitudes towards mathematics. This empirical research followed a Design Experiment approach to explore how aspects of using ill-structured tasks may have affected students' beliefs and attitudes. Results showed this task type and…

The purpose of this study was to explore the experiences of four preservice teachers who used classroom inquiry and reflection to solve problems when implementing differentiated instruction in elementary classrooms during a practicum. Data from classroom observations, individual reflections, and discussions with a teacher educator were analyzed…

This paper reports on scaffolding that is situated within a research project that examined the ways mathematical thinking emerged from student-centred inquiry. The project utilised qualitative methods to investigate a case study of a year-10 class (14-15-year-olds), at a new purpose-built secondary school designed to facilitate inquiry learning.…

The concepts of social and sociomathematical norms have proved to be useful in guiding the participation of students in mathematical discussions and developing the quality of their contributions when inquiry-based, collaborative approaches are applied in studying mathematics. The first author conducted a teaching experiment with her 17-year-old…

The author has taught an inquiry-based liberal arts mathematics class using the text "The Heart of Mathematics: An Invitation to Effective Thinking" by Edward B. Burger and Michael Starbird a total of 20 times since Spring 2001. The students in this class have almost all been in non-technical majors and many started the semester with…

Single photon experiments involving a Mach-Zehnder interferometer can illustrate the fundamental principles of quantum mechanics, e.g., the wave-particle duality of a single photon, single photon interference, and the probabilistic nature of quantum measurement involving single photons. These experiments explicitly make the connection between the…

Symmetry properties of molecules are generally introduced in second-year or third-year-level inorganic or physical chemistry courses. Students generally adapt readily to understanding and applying the operations of rotation (C[subscript n]), reflection (s), and inversion (i). However, the two-step operation of improper rotation-reflection…