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Foundations of Mathematical Reasoning

Foundations of Mathematical ReasoningThe Dana Center’s Foundations of Mathematical Reasoning (FMR) course is a semester-long developmental-level quantitative literacy-based course that surveys a variety of mathematical topics needed to prepare students for college-level statistics, quantitative reasoning, or algebra-intensive courses, as well as the workplace and as productive citizens. 

Instructors can access the DCMP curricular resources for free.


In-Class Activity Student Pages, Third Edition

The course is organized around big mathematical and statistical ideas, presented in contextualized, collaborative, in-class student activities. Concepts include numeracy (with an emphasis on estimation and fluency with large numbers); evaluating expressions and formulas; rates, ratios, and proportions; percentages; solving equations; linear models; data interpretations, including graphs and tables; verbal, algebraic, and graphical representations of functions; and exponential models. 

The course helps students develop conceptual understanding, acquire multiple strategies for solving problems, and further develop the ability to read, write, and talk about mathematical concepts and applications. 

Four contact hours per week, with the same instructor, are recommended.

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Preview Assignments Student Pages, Third Edition

This book contains the Preview Assignments for the Dana Center’s Foundations of Mathematical Reasoning (FMR) course. These assignments are intended to be completed before attending class, in order to refresh the background skills necessary to successfully engage in the in-class activities.

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Practice Assignments Student Pages, Third Edition

This book contains the Practice Assignments for the Dana Center’s Foundations of Mathematical Reasoning (FMR) course. These assignments are intended for use outside of class. They typically provide additional practice of the skills in the in-class activities within a new context, or extend and synthesize the learning using the same context.

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Corequisite Support Student Activity Pages, Third Edition

This book is an optional companion to the Dana Center’s Foundations of Mathematical Reasoning (FMR). It contains structured individual and collaborative activities for use during an additional support class, for students who are at the adult basic education level. These worksheets are backmapped from the FMR activities and prepare students to be able to complete the upcoming FMR preview assignments on their own; they are not intended to support traditional texts. Support content prepares students in developing conceptual understanding of numeracy, evaluating expressions and formulas; rates, ratios, and proportions; percentages; solving equations; linear models; data interpretations, including graphs and tables; verbal, algebraic, and graphical representations of functions; and exponential models. It also supports development of multiple strategies for solving problems, and the ability to read, write, and talk about mathematical concepts. 

This companion course should run throughout the term; three contact hours per week, with the same instructor, are recommended.

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