Students who exhibit mature number sense make sense of numbers and operations, use reasoning to notice patterns, and flexibly choose effective problem-solving strategies (McIntosh et al., 1997, https://ro.ecu.edu.au/ecuworks/6819). Due to its dispositional nature, mature number sense is typically measured through in-depth interviews or tests of…

Word problem solving skills include complex skills. Teaching word problem solving skills to students with disabilities is more difficult compared to their peers with typical development. Therefore, effective interventions need to be determined in order to teach these skills to students with disabilities. The purpose of this study is to analyze the…

A theoretical framework grounded in constructionism and pragmatism theories supported research on learning by doing. This framework underpinned the purpose of this qualitative case study to explore how K-8 STEM teachers facilitated projects utilizing innovative technologies to solve community-based problems. The problem was a lack of connection…

One hundred four students aged 8 to 16 worked on one Fermi problem involving estimating the number of people that can fit in their school playground. We present a qualitative analysis of the different mathematical models developed by the students. The analysis of the students' written productions is based on the identification of the model of…

Feedback is a ubiquitous learning tool that is theorized to help learners detect and correct their errors. The goal of this study was to examine the effects of feedback in a classroom context for children solving math equivalence problems (problems with operations on both sides of the equal sign). The authors worked with children in 7 second-grade…

Marlene Chesney describes a piece of research where the participants were asked to complete a calculation, 16 + 8, and then asked to describe how they solved it. The diversity of invented strategies will be of interest to teachers along with the recommendations that are made. So "how do 'you' solve 16 + 8?"

The present study explores the outcomes of teaching empathy and critical thinking to solve environmental problems. This investigation was done throughout the duration of an environmental education course within a primary school located in central Chile. A community-based research methodology was used to understand the formation of empathy and…

The present study, located in the socio-cultural tradition of research in developmental psychology, uses experimental tasks, adapted from the groundbreaking Lurian study (Luria, 1979, 1976) to investigate South African children's acquisition and development of thinking and concepts -- involving classification and generalisation, and how these…

Engagement in game design tasks can help preservice teachers develop pedagogical and technical skills for teaching and promoting critical thinking and problem-solving skills. Through the design process, preservice teachers not only exercise critical-thinking and problem-solving skills, but also learn about an instructional method to support their…

This study originated from the realization that many community college students have significant difficulties with the concepts related to linear functions and their graphs even though these topics are included in the mathematics curriculum from about third grade onward. It is an attempt to identify possible gaps in the math standards in this…

Strategies used to solve two-digit addition problems (e.g., 27 + 48, Experiment 1) and two-digit subtraction problems (e.g., 73 - 59, Experiment 2) were investigated in adults and in children from Grades 3, 5, and 7. Participants were tested in choice and no-choice conditions. Results showed that (a) participants used the full decomposition…

The study investigated age and gender effects on coping with common stressors among 494 Austrian children and adolescents (age 8-14 years). Participants were subdivided into subgroups of late children comprising third and fourth graders, early adolescents consisting of fifth and sixth graders, and middle adolescents including seventh graders.…

In order to study the influence of the information-processing strategy of an adult model on the subsequent strategy of children, 216 grade school children solved modified twenty-questions problems. A repeated-measures factorial design was used with the following variables: (1) information-processing of model (hypothesis scanning, constraint…

The purpose of this study was to investigate a proposed model for the acquisition of the concept of displacement volume and to compare two methods of conservation task presentation. A 12-stage hierarchical model for the acquisition of the concept was proposed, based on four primary assumptions: (1) concept attainment can be measured by…