The design process is full of judgment, especially around successes and failures that occur through each iteration. Decisions about how to proceed when ideas do not work can be especially challenging for beginning designers. Yet, experts are able to demonstrate more natural regulation of the process. This research focused on the experiences of…

In an effort to deepen learning in K-12 science classrooms, there has been a national movement to integrate computational thinking (CT). The purpose of this phenomenographic study was to understand teachers' perceptions of the function and usefulness of a task analysis and a decision tree tool designed to help them with integration. Teachers…

We investigated whether the developmental emergence of episodic future thinking (EFT) is associated with performance on a type of delay of gratification task: a delay choice task that involved choosing between a small reward now or a larger reward the next day. In Study 1, 4- to 5-year-olds' (N = 99) EFT as measured by a tool saving task was…

Assessing students' conceptions related to independence of events and determining probabilities from a sample space has been the focus of research in probability education for over 40 years. While we know a lot from past studies about predictable ways students may reason with well-known tasks, developing a diagnostic assessment that can be used by…

This paper uses the commognitive framework to analyse how a group of four primary school students classify odd and even numbers. The findings show how students' reasoning is grounded in their personal uses of "odd" and "even". The students attend to different features of "oddness" and "evenness" and agree on…

The ability to project oneself forward in time and imagine a future episode, known as episodic foresight (EpF), is an important aspect of future thinking. EpF tasks often involve children choosing an item for a future episode, yet the degree to which future projection is required to succeed -- versus memory or semantic associations -- has been…

Algebraic thinking and strategy flexibility are essential to advanced mathematical thinking. Early algebra instruction uses 'missing-operand' problems (e.g., x - 7 = 2) solvable via two typical strategies: (1) direct retrieval of arithmetic facts (e.g., 9 - 7 = 2) and (2) performance of the inverse operation (e.g., 2 + 7 = 9). The current study…

In an increasingly complex world, it is imperative that undergraduate science courses prepare students to make confident, informed decisions and predictions. The research presented in this thesis focuses on supporting students to engage in mechanistic reasoning (MR) about phenomena in chemistry and biology (that is, thinking about how and why…

Purpose: This paper aims to present a case study on how the strong relationships with multiple stakeholder groups can benefit educational programs through the curriculum redesign process by using the experience of Marshall University and Intuit. Design/methodology/approach: This paper highlights how Marshall's faculty used Intuit's Design Thinking…

The use of logic is an integral part of mathematical reasoning and communication. This exploratory study explored the reasoning by 122 science students from a university in Lesotho about the truth or falsity of conditional statements. Written tasks and interviews were used as methods of data collection to produce qualitative data. The tasks…

Children have a powerful ability to track probabilistic information, but there are also situations in which young learners simply follow what another person says or does at the cost of obtaining rewards. This latter phenomenon, sometimes termed bias to trust in testimony, has primarily been studied in children preschool-age and younger, presumably…

The aim of this study is to explore the judgments and reasoning in probabilistic tasks that require comparing two probabilities either with or without introducing an additional degree of uncertainty. The reasoning associated with the task having an additional condition of uncertainty has not been discussed in previous studies. The 66 undergraduate…

The proposed revisions to the "Australian Curriculum: Mathematics" highlight the importance of learning to mathematise, problem-solve and reason in real world contexts, including financial contexts. Through the Economics + Maths = Financial Capability research project, the authors have been imagining fresh ideas for connecting the…

In this paper we address the question, how do quantitative reasoning and covariational reasoning present as students build structural conceptions of real-world situations. We use data from an exploratory teaching experiment with an undergraduate STEM major to illustrate the explanatory roles quantitative reasoning and covariational reasoning play…

One of the central challenges educators face today, especially in higher education, is the gap between warranted (domain-specific) knowledge and the prior beliefs students hold about certain concepts and phenomena (preconceptions). In the Internet age, students often self-directedly acquire knowledge from an increasingly large number of…