History: Hands-On Equations has experienced 27 years of measurable success for over 2,500 students nationwide. Dr. Henry Borenson developed this teaching technique after 20 plus years of teaching algebra.
Measurable Success: Interim reports dated 2007 and 2008 are included in the materials and show pre-test and post-test results that show gains of up to 58 percentage points after 7 lessons in this hands-on approach to linear algebraic equations.
Teacher-Friendly: Included in the materials is a DVD which includes lesson-by-lesson instruction for educators, parents, or students to review before completing practice. These lesson include 1-to-2 minute instruction time, 1-to-2 minute guided practice time with the instructor, 1-to-2 minute individual practice time, and 1-to-2 minute review of individual practice with the instructor.
Answer keys, lesson plans, and specific measurable goals and objectives are also included for all materials listed below.
Key Materials: Hands-on teaching balance with blue and white pawns and red and green dice, 10 student kits with all pawns and dice needed for all levels and lessons.
Material Layout:
Level 1, 2, and 3 worksheets and DVD lessons include the following:
Level 1, Lesson 1 equations start off with x + x = 10
Level 3, Lesson 26 equations end with 2x - 2(-x + 5) = x + (-1)
Verbal Problems Book includes story problems for each level and lesson, pictures on worksheets that correspond to the equation scale, and answer keys. Story problems start at the 3rd grade level and move to upper high school levels. Types of problems include numbers, consecutive numbers, age, coins, and distance. Samples are below.
Level 1 Mary went to the store and spent $12. She bought 3 equally-
priced notebooks. How much did each one cost?
Level 2, Lesson 14: Roman has a collection of 20 coins consisting of pennies and
quarters. The number of quarts is 2 more than 1/2 the number of pennies. How many of each
does he have?
Level 3, Lesson 21: The average speed of a the local train is 10 mph less than 2/3 the speed of
the express train. The local train leaves at noon. The express train leaves at 1:00 PM from the
same station and travels in the same direction as the local train on a parallel track.
If the express train overtakes the local train at 2:00 PM, what is the average speed of each
train?
Summary: Dr. Borenson's Hands-On Equations is founded upon the way students learn the language of math. An effective math teacher will move from the enactive (concrete) level to iconic level (pictures) to symbolic (numbers and letters) level of any given mathematical concept thus teaching mastery of the math language in all areas. This user-friendly, all-inclusive technique is a must for all classrooms and particularly the resource room of any special education program.
Measurable Success: Interim reports dated 2007 and 2008 are included in the materials and show pre-test and post-test results that show gains of up to 58 percentage points after 7 lessons in this hands-on approach to linear algebraic equations.
Teacher-Friendly: Included in the materials is a DVD which includes lesson-by-lesson instruction for educators, parents, or students to review before completing practice. These lesson include 1-to-2 minute instruction time, 1-to-2 minute guided practice time with the instructor, 1-to-2 minute individual practice time, and 1-to-2 minute review of individual practice with the instructor.
Answer keys, lesson plans, and specific measurable goals and objectives are also included for all materials listed below.
Key Materials: Hands-on teaching balance with blue and white pawns and red and green dice, 10 student kits with all pawns and dice needed for all levels and lessons.
Material Layout:
Level 1, 2, and 3 worksheets and DVD lessons include the following:
Level 1, Lesson 1 equations start off with x + x = 10
Level 3, Lesson 26 equations end with 2x - 2(-x + 5) = x + (-1)
Verbal Problems Book includes story problems for each level and lesson, pictures on worksheets that correspond to the equation scale, and answer keys. Story problems start at the 3rd grade level and move to upper high school levels. Types of problems include numbers, consecutive numbers, age, coins, and distance. Samples are below.
Level 1 Mary went to the store and spent $12. She bought 3 equally-
priced notebooks. How much did each one cost?
Level 2, Lesson 14: Roman has a collection of 20 coins consisting of pennies and
quarters. The number of quarts is 2 more than 1/2 the number of pennies. How many of each
does he have?
Level 3, Lesson 21: The average speed of a the local train is 10 mph less than 2/3 the speed of
the express train. The local train leaves at noon. The express train leaves at 1:00 PM from the
same station and travels in the same direction as the local train on a parallel track.
If the express train overtakes the local train at 2:00 PM, what is the average speed of each
train?
Summary: Dr. Borenson's Hands-On Equations is founded upon the way students learn the language of math. An effective math teacher will move from the enactive (concrete) level to iconic level (pictures) to symbolic (numbers and letters) level of any given mathematical concept thus teaching mastery of the math language in all areas. This user-friendly, all-inclusive technique is a must for all classrooms and particularly the resource room of any special education program.