To meet increasingly complex mathematics standards in late elementary school, students must conceptually understand and be fluent in the operations of multiplication and division. This includes understanding the operations’ inverse relation. The purpose of the study was to investigate the effects of alternating concrete–representational–abstract (CRA) multiplication and division instruction on students’ mastery of unknown facts and on their conceptual understanding. Fourth through sixth-grade students with learning disabilities who had failed to master all multiplication facts participated in the study. The researchers used a mixed method design, measuring accuracy and fluency of facts with a multiple probe across students design and qualitative methods to capture changes in students’ explanations of their computation. The researchers demonstrated a functional relation between CRA instruction and accuracy and fluency in multiplication and division. Qualitative results indicated differences in students’ understanding of the operations. Implications of the results will be discussed further.

In this article, the authors draw on narrative portraiture to inquire into the family, school, community, and teacher education experiences of two novice teachers who teach in schools located in two rural communities in the southeastern United States. The authors show how their university teacher education classes and field experiences neither addressed nor supported these teachers’ identities as rural teachers. In doing so, the authors highlight how these teachers desired to be connected personally and professionally to the communities in which they teach. From these narrative portraits, the authors argue that identity and relationship exist synergistically within these teachers’ lives and experiences. Drawing on such synergy is critical to attracting preservice teachers to and retaining novice teachers in schools within rural communities. Based on their interpretations, the authors offer suggestions for how teacher educators can better prepare preservice teachers who intend to teach within such schools.

Mathematical word problems are the most common form of mathematics problem solving implemented in K–12 schools. Identifying key words is a frequent strategy taught in classrooms in which students struggle with problem solving and show low success rates in mathematics. Researchers show that using the concrete-representational-abstract (CRA) sequence with explicit instruction improves students' computational skills. Researchers also show that schema-based instruction increases students' problem-solving performance. This study combined CRA and schema-based instruction for three students receiving tertiary interventions for mathematics instruction. A functional relation was found for the three students' problem-solving performance. The researchers also interviewed each student to gain a more complete picture of students' thinking. Results and implications are discussed.

When the current generation of K-12 learners has the opportunity to improve global issues and quality of life, they are inspired to advocate for worthy and ethical causes. Thus, we consider moving beyond the perspective of STE(A)M education from a workforce and global economic focus towards empathy-oriented STE(A)M learning as a humanistic pursuit to generating equitable solutions. This position paper leverages the Design Thinking framework as a theoretical grounding in advocating for the use of empathy as a key intellectual component to learning within integrated K-12 STE(A)M instruction. The purpose of this position paper is to (1) provide an overview of the Design Thinking Framework and discuss how it centres empathy in STE(A)M instruction; (2) share existing literature on the use of empathy in STE(A)M education; (3) theorize and synthesize how the intentional incorporation of empathy in STE(A)M instruction might address needs in well-known STE(A)M instructional methods; and (4) propose and discuss future steps for integrating empathy into the field of STE(A)M education that can benefit K-12 students, particularly those historically excluded in STE(A)M.

This study examines how experiencing model-eliciting activities (MEAs) influenced elementary pre-service teachers’ (PSTs) perceptions of an engineering-based approach to integrated STEM. The participants included 17 elementary PSTs from large public universities located in the southeastern and western regions of the United States. The participants engaged in MEA engineering-based integrated STEM learning experiences. The data included open-ended reflections about the experience. The reflections were coded deductively using the elements of the Equity-Oriented STEM Literacy Framework: dispositions, applicability and utility, empowerment, critical thinking and problem solving, identity development, and empathy. The findings indicate that when PSTs use engineering to teach mathematics and science through MEAs and approach integrated STEM with an equity focus, they increase their knowledge about the applicability and utility of STEM while simultaneously developing their identities as STEM teachers; this positively influences their dispositions towards STEM and empowers them to be teachers of STEM.

This study explores the relationship between elementary teacher candidate affective dispositions and the action of STEM lesson planning. While affective dispositions are important, understanding the connection between dispositions and practice is key. Teacher candidates’ affective dispositions about STEM education and instructional planning were examined after participating in a virtual STEM experience. Seventeen elementary teacher candidates experienced STEM instruction via summer virtual courses and field placements. This article focuses on responses to questions about affective dispositions that were coded using inductive analysis. Dispositions towards the following themes were identified: ways to teach integrated STEM, use of inquiry and open ended questions, and confidence. Early childhood lesson plans were coded deductively using the characteristics of model-eliciting activities. Analysis of the data found that teacher candidates who experienced learning, observing, and planning via virtual experiences demonstrated positive affective dispositions towards teaching STEM. However, there were areas of disconnect between the affective dispositions expressed and the instructional action of planning STEM lessons. The data suggest the experiences of learning, observing, and planning STEM lessons can be meaningful in professional growth, but that more needs to be done beyond these experiences to create synergy between instructional actions and affective dispositions related to STEM education.