Assessing students' answers and in particular natural language answers is a crucial challenge in the field of education. Advances in transformer-based models such as Large Language Models (LLMs), have led to significant progress in various natural language tasks. Nevertheless, amidst the growing trend of evaluating LLMs across diverse tasks,…

As problems become increasingly complex, science educators need to better understand how new knowledge is constructed and applied in heterogeneous team collaborations, and how to teach students to productively engage in these processes. We discuss the emergence of insights in collaborative sensemaking and suggest a model that articulates the…

In this chapter we are interested in how undergraduate physics students in three countries experience the equations they meet in their education. We asked over 350 students in the USA, Australia and Sweden the same simple question: How do you know when you understand a physics equation? Students wrote free-text answers to this question, and these…

This paper presents a new theoretical viewpoint blended from the perspectives that mathematical meaning is extracted (from objects falling under a particular concept) and that mathematical meaning is given (to objects that an individual interacts with). It is elaborated that neither uni-directional framing (whether involving extracting meaning or…

Fatigue is often defined as a mood state, a subjective feeling of tiredness or exhaustion that reduces our desire to continue working on a task (Bess et al., 2020; Hockey, 2013). Fatigue is ubiquitous, something most adults and children experience when struggling to complete a long or challenging task. Most of the time, all that is needed to…

The transition between arithmetic and algebraic thinking is challenging for students. One notable difficulty for students is understanding algebraic symbols--pronumerals. Researchers are exploring pedagogical approaches in seeking to address this issue. The current paper is contributing to this body of literature by illustrating how an online card…

This longitudinal study aimed to determine changes in students' predictive reasoning across one year. Forty-four Australian students predicted future temperatures from a table of maximum monthly temperatures, explained their predictive strategies, and represented the data at two time points: Grade 3 and 4. Responses were analysed using a…

It is commonly known that mathematics is used in many subjects in physics and chemistry courses and the relations between mathematics and variables are more easily understood. These courses also comprise a number of equations that correspond to a mathematical correlation and are also called formulas. Therefore, the aim of the present study is to…

New challenges in today's world have contributed to increased attention toward evaluating individuals' collaborative problem solving (CPS) skills. One difficulty with this work is identifying evidence of individuals' CPS capabilities, particularly when interacting in digital spaces. Often human-driven approaches are used but are limited in scale.…

Random sampling and random allocation are essential processes in the practice of inferential statistics. These processes ensure that all members of a population are equally likely to be selected, and that all possible allocations in an experiment are equally likely. It is these characteristics that allow the validity of the subsequent calculations…

A model of instruction is a set of strategies that guide teachers in their instructional practice. The purpose of this paper is to dispel the myth that mathematics teaching in Singapore schools is all about drill and practice, as perceived of many Asian systems. This paper draws on data of a large project that examined the enactment of school…

Online learning education is fast-growing as its tentacles cover virtually all countries of the world today. This medium does not come as a stunner since online learning education shields against the barriers of time and distance and other militating factors of online learning. But that is not to say that online learning education has no cons to…

I discuss how three preservice mathematics teachers' (PSTs') covariational reasoning supported the mathematization of a simple energy balance model (EBM) for global warming, and how such mathematization shaped PSTs' understanding of the link CO2 pollution and global warming. I use Thompson & Carlson's (2017) levels of covariational reasoning…

Simulation-based learning environments have been proposed by researchers, as educational tools to support learning in complex business systems. However, studies have evidenced that subjects may nevertheless have great difficulty understanding and managing dynamic systems. Previous research has revealed positive learning and performance effects of…

Past work has shown that generating explanations can improve both comprehension and metacomprehension outcomes. Although practice testing may sometimes improve comprehension, it is unclear if it affects metacomprehension (the ability to monitor one's understanding). The current study tested whether online homework activities involving practice…