Math: Teaching with Physical Materials [Premium]

Math: Teaching with Physical Materials [Premium]

Almost half of all dyslexic student may have math disabilities (Wilcutt et al.2013), but math disabilities or dyscalculia are rarely recognized in public or private schools in the US. All the more important for tutors, teachers, and parents to be aware of dyslexia-related differences in learning better ways of helping information ‘stick’. One helpful example for how to support math for dyslexic students comes from the Sagonaska Demonstration School. They have completely embraced multisensory learning and have considered how reading and writing challenges can affect the way students learn and show their work.     Third Space Learning has nice graphics about this approach. Briefly, it involves introducing new math concepts with physical materials, then switching to the use of drawings (representations) to work problems. […]

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Understanding Conceptual vs. Procedural Knowledge in Math [Premium]

Understanding Conceptual vs. Procedural Knowledge in Math [Premium]

With math scores lagging tremendously due to pandemic-related school, many of us may suddenly find ourselves responsible for supervising (if not tutoring) math.   If that’s the case, it’s important to keep in mind the big picture of math learning. Of course the issue of conceptual and procedural learning apply to all subjects, not just math, but it especially becomes relevant when problem solving can become complex; symbols and abstractions must be used, and multiple steps for problem solving are necessary. There’s an especially nice description of the differences between conceptual and procedural knowledge in math from Ruthie Sloan’s Teach Math Literacy blog. Many of us learned math only through procedural learning. We didn’t learn “why” we did certain steps like “flip upside-down and multiply,” […]

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Diagramming Math [Premium]

Diagramming Math [Premium]

When we tested older students in our clinic who were in college on STEM tracks, I often asked students who were proficient in mathematics, what strategies were most helpful to them. Many of them found their own ways of solving problems – often using spatial and mental math strategies or diagrams. How did they learn these approaches? Most said they figured it out themselves.   In my search for math curricula that emphasized deeper understanding and diagrammatic thinking, I came across two resources that may be valuable for you – Illustrative Mathematics and Japanese Math. Often, we may be reminded that mathematics has its own language. There are words and symbols that mean different things in every day speaking, reading, and writing vs. math. If […]

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Reading and Mathematics [Premium]

Reading and Mathematics [Premium]

“Mathematics texts are more conceptually dense than almost any other type of text…Additionally, reading mathematics often differs from other types of reading because in addition to reading left to right and top to bottom, students must jump around the page to associate text with tables, graphs, symbols, and vice-versa…” The subject of reading in math class often receives very little attention in explicit instruction, because most math teachers receive little training in the specific needs of dyslexic students; in some cases, neglect of these needs may the primary reason that students underperform in this important school subject. Math teachers get little or no instruction in teaching students with dyslexia, although dyslexic students are likely to comprise 1 in 5 of their students. “…many mathematics textbooks […]

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