In a successful middle school, school counselors support young adolescents' academic progress and personal wellbeing through a variety of methods. Classroom instruction, or classroom guidance, offers one method of providing such support and features the benefit of allowing middle grades school counselors to reach all students in their schools.…

Although there is consensus on the relevance of the feedback given to student teachers, few instances in the literature have addressed this topic. Even less is said about feedback to mathematics lesson plans and how to characterize it. Lesson plans are artifacts that help establish a link between theory and practice, relate to a broader sense of…

Since the development of the technological pedagogical content knowledge (TPACK) framework, researchers have been developing a variety of instruments to measure the TPACK of pre-service and in-service teachers. The task of developing an efficient, reliable, and valid instrument is difficult. Even validated instruments require guidance for…

We investigated six preservice secondary science teachers' implementation of reform-based science, in particular, their teaching of the "Next Generation Science Standards' (NGSS)" science and engineering practice of "using mathematics and computational thinking." A modified version of the Task Analysis Guide in Science served…

Instructional reforms in science education require changes in the type of intellectual work students are engaging in. This study explored the cognitive demand of tasks pre-service teachers selected during their full time teaching semester. Using the Task Analysis Guide in Science, we analyzed 177 tasks from the lesson plans that seven pre-service…

This paper outlines a seven-step process for developing problem-solving tasks informed by cognitive load theory. Through an example of a task developed for Year 2 students, we show how this approach can be used to produce challenging mathematical tasks that aim to optimise cognitive load for each student.

The most highlighted provision and consequence of the reauthorization of the 1965 Elementary and Secondary Education Act (ESEA), the No Child Left Behind (NCLB) Act of 2001, is obsessive practices of assessing students across the United States (U.S.). Despite newly named policies, including Every Student Succeed Act (ESSA) of 2015, which governs…

All students should be provided with opportunities to develop conceptual understanding prior to procedural fluency. To develop students' conceptual understanding, teachers must learn such skills as how to select, plan, and enact cognitively demanding tasks (CDT) and to evaluate evidence of student learning. Therefore, teachers need opportunities…

This study investigated secondary mathematics pre-service teachers' (PSTs) knowledge of resources in terms of digital technologies, and explored the processes of both selection and integration of technology into their lesson plans. This study employed a case study design. Participants were six secondary mathematics PSTs who enrolled in a methods…

Cognitive load theory (CLT) can explain the challenges faced by student teachers. This study, guided by the CLT, included 26 pre-service teachers. Participants completed a cognitive load self-report questionnaire and were interviewed at two points during their student teaching. Results revealed that student teachers decreased mental effort related…

The teaching and learning of mathematics has been the subject of debate for over 30 years and the most recent reform efforts are in response to concerns regarding the mathematical competence of students in the United States (Ball, Hill, & Bass, 2005; Battista, 1994; Cavanagh, 2008). Standards-based Instructional Materials (SBIM) allows…

This study investigates the use of inquiry learning (IL) approach for intellectually disabled (ID) students. It draws on findings from the trial lessons of 6 classes of ID students in a project developing an adapted General Studies Curriculum for ID students at primary level. Data analysis focuses on examining how IL was employed for ID students.…

Cognitive load theorists claim that problem-centered instruction is not an effective instruction because it is not compatible with human cognitive structure. They argue that the nature of problem-centered instruction tends to over-load learner working memory capacity. That is why many problem-centered practices fail. To better support students and…

Current technologies incorporating sophisticated mathematical analysis software (calculation, graphing, dynamic geometry, tables, and more) provide easy access to multiple representations of mathematical problems. Realising the affordances of such technology for students' learning requires carefully designed lessons. This paper reports on design…

Despite several decades of research in psychology and mathematics education pointing to the importance of learning mathematics with understanding, other research on teachers' instructional practice in mathematics classrooms has found a remarkably consistent characterization of mathematics teaching in the United States as generally doing little to…