Precision reading skills allow some of us to catch those errors before they become public. Precision reading and writing is needed in mathematics and out. These chapters are from Volume 1A, Pattern Based Reason, as is or slightly shortened - the case of the chapter 2 on implication rules. Try the four sets of Arithmetic and Algebra Review Exercises in chapter 7. Have someone check your notation.
Improper notation is a sign of miscomprehension.
As a student and then as a teacher, I never saw an introduction that I liked to the shorthand or algebraic use of letters and symbols in mathematics after arithmetic. So here is a remedy. Chapters 8 to 12 offers words and simple examples by which talkative people may understand and explain the shorthand role of symbols and squiggles in describing and changing computations which might be done. The shorthand role is worth a thousand words. Beyond this formulas with names or phrases to describe them may be used in conversation.