Mason's AmazinMath

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United States - Maryland - Williamsport
Mason's AmazinMath
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Mason’s AmazinMath will change the way you and your students view mathematics.
 
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Whether you are a teacher, a parent, a student, strong in math or weak in math, the material in this book will change the way you view and compute math in the future. Be ready to be amazed and intrigued as you go through the book by all the
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Additive Numeration Systems 1.1 Introduction…2 1.2 Tally Numeration System…3 1.3 Egyptian Numeration System…5 1.4 Roman Numeration System…7 1.5 Creating an Additive Numeration System of Your Own…12 1.6 Monetary Numeration System…13 1.7
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Additive/Place Value Numeration Systems 2.1 Introduction…20 2.2 Babylonian Numeration System…21 2.3 Mayan Numeration System…25 2.4 Creating an Additive/Place Value Numeration System of Your Own…29 2.5 Practice Exercises for Chapter
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Number Sense and Counting 3.1 Introduction…34 3.2 Number Sense and Counting with objects…35 3.3 Number Sense and Counting with Other Base Frames…41 3.4 Counting Activities to Lay the Groundwork for Addition…46 3.5 Counting Activities to
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Number Base Numeration Systems 4.1 Introduction…56 4.2 Hindu-Arabic Numeration System…57 4.3 Other Number Base Numeration Systems Where the Base is Less Than 10…60 4.4 Other Number Base Numeration Systems Where the Base is Greater Than
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Addition & Subtraction Facts 5.1 Introduction…76 5.2 Memorize Strategy for Teaching Addition Facts…77 5.3 Double/Near Double Strategy for Teaching Addition Facts…78 5.4 Ten Frame Strategy for Teaching Addition Facts…79 5.5 Learning
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Place Value, Reading, Writing, and Rounding Whole Numbers 6.1 Introduction…96 6.2 Strategies for Teaching Place Value of Whole Numbers…97 6.3 Reading and Writing Whole Numbers…99 6.4 Rounding Whole Numbers…101 6.5 Large Numbers and
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Addition of Whole Numbers 7.1 Introduction…108 7.2 Regroup/Carry Strategy for Adding Two Whole Numbers…109 7.3 Lattice Strategy for Adding Two Whole Numbers…111 7.4 Mental Strategy for Adding Two Whole Numbers…113 7.5 Regroup/Carry
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Subtraction of Whole Numbers 8.1 Introduction…126 8.2 Regroup/Borrow Strategy for Teaching Subtraction of Whole Numbers …127 8.3 Adding or Subtracting a Value to Obtain an Easier Problem Strategy …129 8.4 United Kingdom Strategy for
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Multiplication of Whole Numbers 9.1 Introduction…138 9.2 Traditional Strategy for Teaching Multiplication Facts…139 9.3 Non-Traditional Strategy for Teaching Multiplication Facts…140 9.4 Traditional Regroup Strategy for Multiplication
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Division of Whole Numbers 10.1 Introduction…162 10.2 Conceptual Understanding of Division…163 10.3 Long Division by a Single Digit Divisor Strategy…165 10.4 Short Division by a Single Digit Divisor Strategy…168 10.5 Long Division by a Two
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Multiplication & Division of Integers 11.1 Introduction…178 11.2 Conceptual Understanding of Integers…179 11.3 Strategies for Multiplication of Integers…182 11.4 Exponents and Integers…185 11.5 Strategies for Division of
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Addition & Subtraction of Integers 12.1 Introduction…196 12.2 Traditional Strategy for Adding Integers…197 12.3 Traditional Strategy for Subtracting Integers…200 12.4 Non-Traditional Strategy for Adding and Subtracting Integers…204 12.5
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Number Theory 13.1 Introduction…212 13.2 Traditional Divisibility Rules…213 13.3 Non-Traditional Divisibility Rules…214 13.4 Prime & Composite Numbers…218 13.5 Strategies for Finding Greatest Common Divisor…222 13.6 Strategies for
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Rational Numbers 14.1 Introduction…232 14.2 Strategies for Introducing Rational Numbers…233 14.3 Connecting Rational Numbers to Measurement…238 14.4 Strategies for Simplifying Rational Numbers…242 14.5 Working with Mixed Fractions…246 14.6
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Addition & Subtraction of Rational Numbers 15.1 Introduction…256 15.2 Strategies for Adding Rational Numbers…257 15.3 Strategies for adding Mixed Fractions…263 15.4 Strategies for Subtracting Rational Numbers…268 15.5 Strategies for
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Multiplication & Division of Rational Numbers 16.1 Introduction…286 16.2 Strategies for Multiplying Proper and Improper Fractions…287 16.3 Strategies for Multiplying Mixed Fractions…294 16.4 Strategies for Dividing Rational
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Decimals 17.1 Introduction…306 17.2 Reading, Writing, and Rounding Decimals…307 17.3 Rounding Decimals…311 17.4 Strategies for Adding Decimals…314 17.5 Strategies for Subtracting Decimals…316 17.6 Strategies for Multiplying
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This lesson should be used in Kindergarten and First Grade to help students develop a relationship between numerals, numeral names, and ten frames for the numerals 60 through 99. The lesson includes a 41 slide PowerPoint with 10 activities, an
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TEACHING EXPERIENCE

43 years teaching experience in mathematics. (1974-present) Junior High, High School, College

MY TEACHING STYLE

My teaching style focuses on giving students the ability to use knowledge to analyze problems, visualize problems, decide on a strategy to use, and solve problems inside and outside the classroom.

HONORS/AWARDS/SHINING TEACHER MOMENT

Presented on four different occasions at the Association of Faculties for Advancement in Community College Teaching (AFACCT) yearly Conference....... Presented on two different occasions at the Maryland Association of Community Colleges (MACC) yearly Conference......... Presented at the National Council of Teachers of Mathematics (NCTM) Regional Conference in Baltimore MD, October 2013...... Presented at the NCTM Regional Conference in Indianapolis IN, October 2014........ Presented at the NCTM Regional Conference in Richmond VA, November 2014....... Presented at the NCTM Annual Meeting & Exposition in Boston MA, April 2015.

MY OWN EDUCATIONAL HISTORY

BSEd Mathematics 1974, Lock Haven State College, Lock Haven, PA.......MS Mathematics 1983, Shippensburg University of PA, Shippensburg, PA

ADDITIONAL BIOGRAPHICAL INFORMATION

My wife Linda and I have 7 children, 14 grandchildren, and 4 great grandchildren. I enjoy traveling, hiking, participating in solving real world problems, being creative in architectural and furniture design, remodeling, and building furniture.

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