Changing Improper Fractions into Mixed Numerals: a Book by Lisa C. Jackson

Changing Improper Fractions into Mixed Numerals
I wrote this book because I suspect my child has dyscalculia. I am trying to prepare my child-student for the TABE and GED tests. I am hoping this will help people with dyscalculia and those who teach them. I think this book will be helpful to 5th grade school teachers, homeschool moms, middle school and junior high and high school teachers, adult education teachers and those learning math for the GED test.

This is how this book came to be:

  • My dad always taught us math around the dinner table and everywhere we went. My siblings and I helped him check math papers quite often. I was always reading and hearing maht vocabulary like “whole numbers,” “improper fractions,” and “numerator.” My dad loved teaching math to 5th graders. This is considered 5th grade math in most curricula.
  • When I had a hard time understanding math, I had my school teacher, my dad and my math-loving brother who could explain everything to me. I did not need visual explanations of things because I had so much help.
  • However, I am an artist and visuals like these with very concise explanation of every little detail would have been nice.
  • When I was in elementary school, I visualized how the design of the math textbook could improve. I dreamed of becoming a textbook math designer one day just to make the math book easier for the child to understand by adding better visuals.
  • I became a homeschool mom. I have taught homeschool 5 years and have not yet found all the answers for how to teach math concepts to every child. 
  • For 5 years, I have been eluded as to how to explain certain things which are very easy for me to understand, to children to whom these math concepts do not come so readily.
  • I became determined to figure out how to help children (and all people) understand math concepts better.
  • I love the Montessori method. I want to meet Maria Montessori when I get to heaven. I also love Constance Kamii and her methods for teaching math.
  • I am an eclectic-style homeschool mom. That means I like teaching using multiple methods. 
  • I used my “Your Teacher” app yesterday and wrote down all of the lesson names in all of the chapters in each grade level and math level, with checkboxes nest to each lesson. I made a plan to have my kids watch 5 lessons per day from this app. I knew this would help. It did, because helped me to see which pieces of the puzzle my children were missing for the complete understanding of these math concepts regarding fractions.
  • I googled this morning and found information about dyscalculia from this website which was very helpful.
  • I watched this dyscalculia simulation, which is to help the rest of us understand the struggles of people who have this learning disability.
  • I found a list of curricula for people with dyscalculia. I found Math U See. It is too expensive for me.
  • I then remembered that Maria Montessori made everything multisensory. I searched up and found this video about teaching children about changing improper fractions into mixed numerals using the Montessori method.
  • As you can see in the book below, much of this book is from the video.
  • Some of the book below comes from questions my child-student had this morning after watching the video. 
  • I had some blank board books. What a nice thing to have. I thought, ‘I can plan a book sng then make it.’ I made 3 plans. 
  • I made the book, which is a combination of the 3 plans (a 4th plan, which is silly but true).
  • Since I did graduate with a Bachelor of Arts Degree in Art, I illustrated the book myself.
  • Now I need a publisher. More people need this book. I do not want to make lots of handmade copies!

3-D View of Fractions 5th Grade math concept book for people with dyscalculia
Cover Page: Change Improper Fractions to Mixed Numerals
1 Pizza Whole Number, 2/5 a pizza partial number
Improper Fraction
improper fraction, mixed numeral
7 divided by 5 or 7/5
fraction numerator denominator quotient mixed numeral

TABE or T.A.B.E. or Test of Adult Basic Education MATH for Homeschool

The TABE math test seems to be approximately:

  • 1/3 6th grade math (Including math concepts learned in 3rd, 4th and 5th grades)
  • 1/6 Pre-Algebra
  • 1/3 High School Level Algebra and Basic Middle School Geometry
  • 1/6 Intermediate Algebra (Basic College Algebra) & Basic Trigonometry.

My TABE app has the following categories and numbers or problems in each:

  • Basic Math
  • Arithmetic
  • Averages and Rounding
  • Basic Operations
  • Comparison
  • Estimation Sequences
  • Measurement
  • Percents & Ratios
  • Fractions
  • Square Roots
  • Graphs
  • Advanced Math
  • Basic Algebra
  • Advanced Algebra
  • Geometry

(Source: TABE app by IDD Group, Inc. for apple devices)