Manipulatives are ubiquitous in early childhood classrooms; yet, findings regarding their efficacy for learning mathematics concepts are inconsistent. In this article, we present four general principles that have emerged from cognitive science about ways to ensure that manipulatives promote learning when used with young children. We also describe how Montessori instruction offers a concrete example of the application of these principles in practice, which may, in turn, explain the high levels of mathematics achievement among children who attend Montessori programs during early childhood. The general principles and concrete examples presented in this article should help early childhood programs maximize the benefits of using manipulatives for developmentally appropriate mathematics instruction.
Montessori education has a long history, but its recent growth in American public schools has led to increased interest in research efforts, particularly in exploring the potential of the Montessori experience to moderate the effects of poverty and in gathering data to evaluate public investment in Montessori schools. To assist research efforts, this paper introduces a comprehensive visual model, or logic model, that depicts the core components, underlying assumptions, and intended outcomes of the Montessori approach. Logic modeling, which results in a visual representation depicting the connections among a program’s inputs, primary activities, and outcomes, is often used in program planning and research to provide a common framework from which to work. Developed over a 3-year period by a collaborative group of experienced Montessori researchers and practitioners, the Logic Model for Montessori Education presented in this paper is a valuable tool for researchers with the potential to lay a foundation across disciplines for future research that is both rigorous and systematic in its measurement of Montessori processes and outcomes.
Researchers who study any intervention must rule out potential alternative explanations for their results by establishing that the program being investigated is implemented with fidelity. Various instructional practices are attributed to the Montessori Method because the term is not legally protected, meaning any school can say it is Montessori regardless of the degree to which it adheres to practices generally understood to represent Montessori education. Researchers have used a variety of tools to measure the fidelity of Montessori environments they study, but most of these tools lack an extensive psychometric foundation or are labor intensive, requiring in-person observation. The purpose of this study was to examine the psychometric properties of instruments that were developed to measure Montessori implementation through Early Childhood (EC) and Elementary (EL) teachers’ reported instructional practices. Findings supported three hypothesized dimensions of Montessori implementation (structure, curriculum, and freedom), which worked fairly well in describing practices. While the properties of these instruments are promising and provide preliminary supporting evidence, results of this analysis suggest further refinement of the items in these instruments is necessary with larger and more diverse samples. While we do not suggest that these are finalized tools, we believe they provide a valuable starting point that is a vast improvement over the requirement of investigators to develop their own instruments as part of each Montessori study they design. The authors hope other researchers will incorporate these instruments into their studies to help build a robust body of evidence supporting their use.
Becoming a competent Montessori Elementary guide is a complex process, so we are developing the Montessori Coaching Tool Elementary (MCT-EL) rubric to describe teaching-practice expectations for self-reflection and formative feedback during the critical early period in a teacher’s development. The purpose of this article is to share results from a small-scale, online survey collecting both qualitative and quantitative feedback on the rubric from experienced Montessori Elementary teacher educators. The rubric’s content was based on Maria Montessori’s writings and welldocumented Montessori practices, which we translated to specific teacher behaviors and developmental progressions. We wanted to gauge the MCT-EL rubric’s usefulness and appropriateness from the perspective of experts who have significant depth of experience mentoring new teachers. The rubric was not developed to be used for performance evaluation, promotion, or retention but rather for early-career Montessori teachers’ self-reflection. It provides a framework for coaching conversations between the early-career Montessori teacher and a Montessori mentor. Results from the study identified overall support for use of the MCT-EL rubric with developing teachers, along with specific recommendations for revisions, additions, and deletions. Using a thorough review of the data, we developed a refined MCT-EL rubric, which is provided in Appendix B and is available for use by interested practitioners in the field.
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