A local urban school district recently reported that 86% of third graders did not demonstrate proficiency on the Math Standardized Test, which challenges students to solve problems and justify solutions. It is beneficial if these skills are developed prior to third grade. Students may be more academically successful if kindergarten teachers have…

Generalization has been identified as a cornerstone of algebraic thinking (e.g., Lee, 1996; Sfard, 1995) and is at the center of a rich conceptualization of K-8 algebra (Kaput, 2008; Smith, 2003). Moreover, mathematics teachers are being encouraged to use figural-pattern generalizing tasks as a basis of student-centered instruction, whereby…

A challenge in mathematics education research is to coordinate different analyses to develop a more comprehensive account of teaching and learning. I contribute to these efforts by expanding the constructs in Cobb and Yackel's (1996) interpretive framework that allow for coordinating social and individual perspectives. This expansion involves four…

Highly capable mathematics students are not usually considered strugglers. This paper reports on a case study of a Year 6 student, Debbie, her response to a lesson, and her learning involving a challenging mathematical task. Debbie, usually a highly capable student, struggled to complete a challenging mathematical task by herself, but as the…

This study explored the potential of a rich assessment task to reveal students' multiplicative thinking in respect to a hypothetical learning trajectory. Thirty pairs of students in grades 5 and 6 attempted the task. Twenty-two pairs applied multiplicative structure to find the number of items in arrays. However counting and computational errors…

This report summarises the research activities and findings from the TLRI-funded project entitled "Visualising Chance: Learning Probability Through Modelling." This exploratory study was a 2-year collaboration among two researchers, two conceptual software developers/interactive graphics experts, three university lecturers/practitioners,…

To be active members of a democracy, young people need to develop skills in active citizenship participation. Within New Zealand, there are opportunities to develop such skills within the social-studies curriculum as well as within the personal social-action achievement standards in NCEA (Levels 1-3). Drawing on a 2-year research project with…

Active learning pedagogies play an important role in enhancing higher order cognitive skills among the student community. In this work, a laboratory course for first year engineering chemistry is designed and executed using an inquiry-based learning pedagogical approach. The goal of this module is to promote higher order thinking skills in…

Recently, many educational institutions across the globe have implemented engineering leadership programmes either as a part of a formal engineering curriculum or where leadership development is embedded into separate in-house programmes. This shows the clear intent of these educational institutions to prepare their engineering students for…

Responding to a call for national reform of mathematical education, as well as a college-wide revision of general education (GE) requirements, we describe a new entry-level, GE course focused on the humanitarian utility of mathematics. This includes a detailed overview of how we taught the course using a Humanitarian MATLAB Lab Manual developed…

This study explores how structured reflective practice by teachers in a Reform congregational school contributes to relational growth and the development of an inquiry stance in teaching. Analysis of teachers' responses to weekly prompts about their classroom experiences reveals three prominent themes: classroom management as inquiry, the tension…

This quasi-experimental quantitative study examined the effects of different multimedia learning environments on the learning outcomes of second language learners. The study was designed to specifically assess Mayer's redundancy principle by investigating whether there was a difference in performance outcomes of second language learners…

The ability to self-regulate learning (SRL) is a skill theorized to transfer across learning environments. Students with this ability can consider a learning task, identify a goal, develop a plan to achieve it, execute that plan, and monitor and adapt learning until the goal is met. This paper examines the educational implications of developing…

Project-based learning (PBL) in the science classroom provides an opportunity for students to investigate socioscientific issues that are current, authentic, and relevant. In a typical PBL unit, the teacher designs a narrative plan and acts as a facilitator who helps gather and organize student ideas. The framework of the Next Generation Science…

The article examines the challenges university teachers face when adopting connective pedagogy in organizing teaching. Instead of studying the learning outcomes of the method, we decided in this research to focus on the teachers' experiences when doing things differently in a fairly traditional pedagogical institution like a university. In spring…