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Use of manipulatives and other representations and link to symbols. I chose this principle because manipulatives help students get a deeper understanding of concepts.

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In HOE the teacher asked the students to explain and justify thinking by checking their answers with the value of x to be sure it made sense.

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Principle 4 (Kalicia)- Use manipulatives and other representations and link to symbols.

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Principle 4 (Kalicia)- Use manipulatives and other representations and link to symbols.

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I think hands on equations uses this principle because we used the dice and pongs to represent the numbers. Also because the manipulatives provide students with a better understanding.

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Sam-Principle #8-Use a variety of teaching strategies!

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Sam-Principle #8-Use a variety of teaching strategies!

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Using a variety of teaching strategies was important during the equations activities.  The videos taught us how to solve the problems using a balancing manipulative but you could also use the tradition way of solving the problems, especially from lessons 3 and up.  Traditionally, you would move the X to one side of the equation and move the other addends to the other side of the equation, then solve for X.  Some students can solve the problems using mental math.

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Use manipulative and other representations and link to symbols. I chose this principle because manipulatives (pawns/dice) help students better understand math concepts in an efficient manner. Students are also able to correct their own mistakes by using manipulatives.

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Audra - Principle #10 - Adjust the curriculum timeline

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Audra - Principle #10 - Adjust the curriculum timeline

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Teachers who are using HOE are using this principle because Algebra is typically taught only procedurally.  They are taking time to teach it conceptually - going slow to go fast...  :)

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I think using Hands on Equations is using Principle #2(establish strong number sense) through the use of using known to derive the unknown and decomposing and recomposing numbers to simplify calculation. Students will learn to reconstruct based on prior knowledge and use strategies to help them make sense of what they are learning. In this assignment, we were using counting and using flexible and multiple representations to train ourselves to be flexible with numbers.

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1. Build From Intuitive Knowledge - Lindsay

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1. Build From Intuitive Knowledge - Lindsay

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Teachers who use HOE are using this principle because the teacher is engaging student's knowledge of how a scale balances to teach the concept of balance within algebra equations.

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Principle #4: Use manipulatives and other representations to model a problem and link them to mathematical symbols. I chose this principle because we were using different hands on manipulatives such as the pawn and the dice to represents numbers and X's. Once we were able to to find the numbers for x, we were able to then replace the manipulatives with numbers