This paper applies the well-known cognitive bias of loss aversion from behavioural economics to student decisions over engagement with mathematically demanding coursework. This bias is shown to predict behaviour that is consistent with mathematics anxiety in a dynamic model of student engagement. It is shown that these forces can imply…

In this study, we examine "what went wrong" in our professional development program for encouraging cognitively demanding instruction, focusing on the difficulties we encountered in using an observational tool for evaluating this type of instruction and reaching inter-rater reliability. We do so through the lens of a discursive theory of…

When justifying a mathematical statement, textbooks often interweave several instances of justification, creating, what we term, "paths of justification." This study aims to characterize the paths of justification of mathematical statements that are offered in eight 7th grade Israeli mathematics textbooks. The study attended to context…

This study explored 54 preservice elementary teachers' identification and modification of mathematical tasks in raising cognitive demand and examined the features of their modified tasks. The study collected data using a three-phase activity: (a) identifying the level of cognitive demand of the given task, (b) modifying the low cognitive demand…

This paper examined the ability of students to pose a problem in a free posing situation about sets in terms of the problem text, compatibility with mathematics principles, the problem type and structure, solvability, and mathematical complexity. Additionally, students were probed to determine the difficulties they encountered during the problem…

Cognitively demanding tasks have been shown to support students' understanding of mathematics. How a task is launched, or introduced, determines how students engage with the task, as well as the type of work the teacher engages in during the task implementation. The authors designed a unit focused on launching a task where prospective teachers…

The "remembered success effect" (Finn, 2010) refers to the finding that challenging academic tasks that start or end with extra opportunities for success are often preferred to challenging tasks that do not include these opportunities. Research on the remembered success effect has identified some memory processes that are thought to give…

The level of arithmetic knowledge of a high school student was explored when solving additive word problems considering the semantic structure and syntactic component. The methodology was qualitative and developed in four stages: the first is the selection of the participant, the second is the design of a questionnaire with twenty additive…

Productive struggle is an effective mathematics teaching practice that provides students opportunities to grapple with challenging mathematical concepts, connect prior knowledge, discover new ideas, and develop their critical thinking skills. Research has documented the benefits of secondary mathematics students engaging in productive struggle.…

Interleaved practice combined with comparison prompts can better foster students' adaptive use of subtraction strategies compared to blocked practice. It has not been previously investigated whether all students benefit equally from these teaching approaches. While interleaving subtraction tasks prompts students' attention to the different task…

This study aims to investigate the effect of the online flipped learning model (OFLM) when integrated into a mathematics course in an emergency remote teaching process on seventh grade students' academic achievement, their attitudes towards their mathematics course, and their cognitive load. The study was designed as a crossover experimental…

This study aimed to interpret and describe students' mathematical thinking processes of non-routine mathematical problems that were solved based on didactic situation theory. This study uses a qualitative method, a phenomenological hermeneutics study for grade 8 students at a junior high school in Banda Aceh in the 2021-2022 academic year.…

This study investigates the challenges faced by second-year undergraduate engineering students in understanding Stokes' theorem in vector calculus, focusing on the misconceptions found in interconnected concepts that form its foundation. Stokes' theorem involves the application of line integrals, surface integrals, the curl of a vector field, and…

When it comes to choosing tasks, values can have a significant impact. This study explores teachers' values as they choose one task from among three that they believe will have the most potential to occasion mathematical creativity in the classroom. Participants' analyses of each task, as well as their reasons for choosing one task as most…

Counselors and educators must re-imagine social-emotional wellness as an essential part of the academic curriculum. The authors present a collaborative, sustainable model that focuses both on academic rigor and emotional wellness. The authors outline how this model can be integrated in any academic content area and how school counselors and…