Cognitive demands of mathematical tasks

It can be said that teaching is an art because teachers can be eclectic in shaping and refining their instructional approaches using a variety of research-based strategies, mentor-informed tools, and action-oriented guidelines. One noteworthy set of guidelines is Universal Design for Learning (UDL). The guidelines support teachers in incorporating the UDL concepts into their practices while also offering viable ways for teachers to support learners. UDL 3.0 is the current version that has value-laden principles and meritorious themes for promoting student learning and student efficacy. It was developed in response to the robust appeal from educators and researchers to “address critical barriers rooted in biases and systems of exclusion for learners with and without disabilities” (CAST, 2024).
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Over the past few decades, researchers, educators, and policymakers have agreed upon the importance of fostering students’ higher-order thinking (HOT) in mathematics, which has led to reforming mathematics curriculum, instruction, assessments, and teacher training (National Council of Teachers of Mathematics, 2000; National Governors Association Center for Best Practices & Council of Chief State School Officers, 2010). Developing higher-order thinking is essential for students’ success in learning mathematics. Math For All employs a neurodevelopmental framework (NDF) to analyze the cognitive demands of mathematical tasks. This framework identifies eight key areas of cognition that can come into play when learning: language, sequential ordering, spatial ordering, motor functions, psychosocial functions, attention, memory, and higher-order thinking.
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