Arithmetic, Algebra, and
Radical Comprehension of Math

A Refreshingly Joyous, Human, and Accessible approach to
Arithmetic and Algebra
for all those who may have experienced otherwise.

I am collating–and tightening up–all my algebra materials and posting the chapters here as I go along.

I imagine this as a resource for adults who want to finally make sense of the arithmetic and the algebra they experienced in the past that remains hazy, illogical, and arbitrary in their minds.  It is also written for educators and their professional development work, and as reference for curriculum authors.

Enjoy!

p.s. To get a sense of my thinking and approach, how comfortable are you attending to these Thorny Questions? They are all answered in my notes.

p.s.s. Here is an Index of Topics Covered thus far.

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PART 1: ARITHMETIC: The Gateway to All

Chapter 1: The Counting Numbers

ARITHMETIC AND ALGEBRA Chapters 1 2 3 4

Solution sets available upon request

Chapter 2: Playing

ARITHMETIC AND ALGEBRA Chapters 1 2 3 4

Solution sets available upon request

Chapter 3: The Integers

ARITHMETIC AND ALGEBRA Chapters 1 2 3 4

Solution sets available upon request

Chapter 4: The Power of Place Value

ARITHMETIC AND ALGEBRA Chapters 1 2 3 4

Solution sets available upon request

Chapter 5: Fractions: Not Getting Them is Not Your Fault

ARITHMETIC AND ALGEBRA Chapters 5 6 7 8
BONUS Document and video: Arithmetic of Fractions JUST THE MATH(PDF) and Matching Video

Solution sets available upon request

Chapter 6: Fractions: Understanding their Schoolbook Arithmetic and the Mathematical Truth

ARITHMETIC AND ALGEBRA Chapters 5 6 7 8
BONUS Document and video: Arithmetic of Fractions JUST THE MATH(PDF) and Matching Video

Solution sets available upon request

Chapter 7: Decimals, and Scientific Notation, Rounding, and Significant Figures

ARITHMETIC AND ALGEBRA Chapters 5 6 7 8

Solution sets available upon request

Chapter 8: Beyond Base Ten: All Bases, All at Once!

ARITHMETIC AND ALGEBRA Chapters 5 6 7 8

Solution sets available upon request

 

PART 2: ALGEBRA: All Arithmetic, All at Once

Chapter 9: Solving, Graphing, Seeing

ARITHMETIC AND ALGEBRA Chapters 9 10 11 12

Solution sets available upon request

Chapter 10: Lines

ARITHMETIC AND ALGEBRA Chapters 9 10 11 12

Solution sets available upon request

Chapter 11: Proportional Reasoning

ARITHMETIC AND ALGEBRA Chapters 9 10 11 12

Solution sets available upon request

Chapter 12: Systems of Equations

ARITHMETIC AND ALGEBRA Chapters 9 10 11 12

Solution sets available upon request

Chapter 13: Trusting Patterns and not Trusting Patterns

ARITHMETIC AND ALGEBRA Chapter 13

Solution sets available upon request

Chapter 14: Quadratics

ARITHMETIC AND ALGEBRA Chapter 14

Solution sets available upon request

Chapter 15: Exponents

ARITHMETIC AND ALGEBRA Chapter 15

Solution sets available upon request

Chapter 16: Logarithms

ARITHMETIC AND ALGEBRA Chapter 16

Solution sets available upon request

PART 3: FUNCTIONS

Chapter 17: Infinity

ARITHMETIC AND ALGEBRA Chapter 17

Solution sets available upon request

 

Further chapters coming.

PART 4: SOPHISTICATED COUNTING and PROBABILITY

Coming.

Resources