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Review: Mathematical Reasoning B

In our household, we view mathematics through a multifaceted lens, which is why we choose to supplement Math-U-See Alpha with Mathematical Reasoning B. To maximize the longevity of this resource, I’ve transitioned the pages into a two-inch binder alongside Level A, utilizing sheet protectors and Expo markers so we can revisit the concepts as often as necessary. One of the immediate draws of this series is the vibrant, full-color layout, which keeps the visual engagement high. However, parents should note that Level B hits the ground running with addition and currency; if your student hasn't yet mastered basic sums, I would recommend starting with Level A or the Math-U-See Primer to build that essential foundation.


The curriculum introduces algebraic thinking early with "fill-in-the-blank" questions, such as "$1 + __ = $4." While I personally find the Math-U-See approach of "solving for $x$" in a formal equation more rigorous, Mathematical Reasoning offers unique benefits that its counterpart lacks. Specifically, it focuses on the fine motor aspect of writing numerals and utilizes number lines to visualize movement—a tool we find incredibly helpful. A standout feature for us is the inclusion of "Mind Benders." These logic-based puzzles require our daughter to use deductive reasoning and ratios to find the correct answer, effectively merging traditional arithmetic with high-level critical thinking.


The variety of problem types in this workbook is truly impressive. My daughter particularly enjoys the integrated "connect-the-dots" activities, where the sequence of dots is determined by the solutions to addition and subtraction problems solved on the preceding page. We also utilize the "What Doesn’t Belong?" sections to spark deeper conversations; I’ll often ask her to explain the why behind her choice to reinforce her logic. While the book does include word problems, I find Math-U-See to be slightly more robust in this area, particularly regarding multi-step equations. That said, the time-telling exercises here are excellent, as they challenge the student to determine if a specific time is "appropriate" for a given scenario.


As a "spiral" curriculum, Mathematical Reasoning frequently circles back to previously taught concepts like tallies and patterns to ensure long-term retention. While I do find a few pages to be a bit like "busy work"—such as those requiring a child to replicate a drawing exactly—the overall progression is solid. The latter half of the book ramps up the difficulty with significant work in subtraction, fractions, and number families. I was especially pleased to see the introduction of expanded notation, a concept that provides a much clearer picture of place value for a developing mind.


Furthermore, this curriculum tackles measurements of length, a topic we haven't encountered as much in our other programs. We’ve found that pairing these workbook pages with our Osmo (Dragon) system creates a well-rounded understanding of physical dimensions. Ultimately, while our family has come to prefer the structured "mastery" approach of Math-U-See, Mathematical Reasoning B is a fantastic supplement for providing variety and a colorful change of pace. Every child learns differently, and this book is a wonderful tool for those who thrive on a spiraling, visually-rich curriculum!

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