This article extends initial ideas on what hope is, why it matters to democracy, and how to teach it in schools, which were first presented by Sarah M. Stitzlein in her book "Learning How to Hope: Reviving Democracy through Our Schools and Civil Society" (Oxford University Press, 2020). It accounts for recent obstacles to hope,…

This paper demonstrates that a teachable agent (TA) can play a dual role in an online learning environment (OLE) for learning by teaching--the teachable agent working as a synthetic peer for students to learn by teaching and as an interactive tool for cognitive task analysis when authoring an OLE for learning by teaching. We have developed an OLE…

Providing mathematics instruction and supporting students with mathematics difficulties, including students with disabilities, at risk for disabilities, or those who struggle with the content, is important and interventions must be designed to occur face-to-face or virtually. Despite limited research on providing mathematical interventions online…

Research focusing on the integration of computational thinking (CT) into science, technology, engineering, and mathematics (STEM) education started to emerge. We conducted a semi-systematic literature review on 55 empirical studies on this topic. Our findings include: (a) the majority of the studies adopted domain-general definitions of CT and a…

Tentativeness is often framed as a deficit, synonymous with timidity or a lack of confidence. In this article, I situate the notion of tentativeness in an enactivist framework and describe its role as both a strategy and affordance in a spatial visualization exercise. Drawing on insights from mathematics education and ecological psychology, I…

State exams frequently use word problems to measure mathematics performance, making difficulties with word problem solving a barrier for many students with learning disabilities (LD) in mathematics. Based on meta-analytic data for students with LD, five empirically validated word-problem strategies are presented, with components of model-based…

The development of technology and science has progressed very rapidly. Students are required to master various kinds of abilities, one of which is problem-solving ability. Problem-solving ability need to be developed in the learning process. The learning model that can facilitate students in practicing problem-solving ability is the Reading,…

Instruction targeting the underlying math problem structure is identified as an evidence-based practice for students with a specific learning disability (SLD). Furthermore, schema-based instruction is identified as a potentially evidence-based practice for students with a SLD. This study extended prior work by (a) using a teacher as the…

Blended learning is becoming increasingly prevalent in engineering education due to its flexibility and enhanced learning outcomes, however it can face challenges in maintaining student engagement and satisfaction. This study investigates the impact of worked example videos (WEVs) as a blended learning approach within undergraduate engineering,…

The learning model is one of the critical factors in boosting student to have good learning motivation (LM) and cognitive competencies (CC). In two academic years (2016-2017), only 19.6% of Senior High School (SHS) students in Samarinda passed minimal competence in Biology subject. This research was conducted to find out a better learning model in…

The development of children's lie-telling abilities is considered to be a social and cognitive milestone. While occasional lying is developmentally appropriate, the use of frequent, antisocial lies as a maladaptive problem-solving mechanism can indicate behaviour problems. Since lying is often considered a moral transgression, researchers should…

Between historic changes in American undergraduate student demography and increasing stresses on civil society, institutions of higher education face mounting pressure to help their students foster strong civic skills and practices. At Queens University of Charlotte, the authors leveraged a curriculum revision process to create a general…

Place value is one of the 'big ideas' in number and plays a critical role in helping students develop their number sense, problem solving and computation skills. Yet, the elegant simplicity of our place value system belies the abstract nature of the construct. This paper presents data from 606 Year 3-6 students (ages 8-12) from two metropolitan…

The aim of this paper is to present a teaching proposal for the theoretical part relating to the first- and second-order linear difference equations with constant coefficients suitable for the first-year students at various types of universities. In contradistinction to the methods often applied (memorization of algorithms without a proper…

Mathematical reasoning, which plays a critical role in students' capacity to make sense of mathematics, is now emphasised more strongly in various curricula internationally. However, reasoning is sometimes difficult for teachers to recognise, let alone teach. This case study considers video of one teacher's implementation of a problem-solving…