In this paper, the multidigit arithmetic-related strategy adaptivity, strategy flexibility and solution accuracy of Danish compulsory school students is examined. Participants, 749 grade three, 731 grade six and 818 grade eight, were drawn from twenty demographically different schools. Drawing on a tri-phase assessment tool, each student completed…

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…

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…

This study examined whether students were reaching automaticity with single digit multiplication facts. A fourteen question interview was used to collect data. The first three questions asked the student basic information about themselves and their current math teacher. The next seven questions were math facts. The math facts chosen for the…

The Multi-Tiered System of Support (MTSS) framework, which uses a systems approach to promote school improvement and support all students in improving academics and behavior using data-based problem-solving, is a key part of the Wake County Public Schools System (WCPSS) Strategic Plan. As of 2017-18, MTSS schools were at the initial stages of MTSS…

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 Invisible Wall Project analyzes problem-solving processes of children in Grades 3 and 4 and Grades 8 and 9. The central idea of the research is to use sets of tasks that are all unsolvable, which means they have a goal that cannot be reached. The unsolvability, however, is of a kind that can be understood even by younger children. In our case,…

This article reports findings from a study that investigated math achievement differences between English language learners (ELLs) and fully English proficient (FEP) students on a literacy-based performance assessment (LBPA). It has been assumed that LBPAs are superior to standardized multiple-choice assessments, but it has not been determined if…