MHB B12 using counters of algebra eq

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SUMMARY

The discussion focuses on using counters to illustrate multiplication problems, specifically targeting elementary arithmetic concepts. Participants analyze examples such as $2 \times -6$ and $6 \times -2$, employing counters represented by "R" to visualize the operations. The conversation highlights the challenges faced by educators, particularly those with a background in ESL, when teaching math concepts that have evolved over the years. The need for clarity in teaching methods and terminology is emphasized, especially for those assisting students in foundational math.

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  • Understanding of basic multiplication concepts
  • Familiarity with the use of counters in arithmetic
  • Knowledge of negative numbers and their representation
  • Basic teaching strategies for elementary education
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  • Research effective methods for teaching multiplication using manipulatives
  • Explore the historical evolution of arithmetic teaching techniques
  • Learn about the integration of ESL strategies in math instruction
  • Investigate common challenges faced by educators in teaching foundational math
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This discussion is beneficial for elementary educators, ESL instructors, and anyone involved in teaching foundational math concepts to students, particularly those transitioning from traditional methods to modern approaches.

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Use your counters to do each of the following multiplication problems using the definition of multiplying a whole number by an integer.
Use the following example as a model. Example Multiply:
$2\times -6\implies 2\times -6= RRRRRR + RRRRRR = RRRRRRRRRRRR=-12$
why are they using 6 Rs

a.$6\times -2= $\boxed{?}$=$\boxed{?}$=$\boxed{?}
b. $2\times 4= $\boxed{?}$=$\boxed{?}$=$\boxed{?}
c. $5\times -3= $\boxed{?}$=$\boxed{?}$=$\boxed{?}
d. $7\times 2= $\boxed{?}$=$\boxed{?}$=$\boxed{?}
 
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The problem is (ignoring the negative sign as they do here since there are no "negative" counters) 2 times 6. The "R"s represent the counters so there are 6 "R"s representing the 5 counters, twice.

For the others, again using "R" to represent the counters, you would have 4 "R" representing the 4 counters so 2 x 4 would be "RRRR+ RRRR"= "RRRRRRRR".

(This looks like a fourth or fifth grade arithmetic problem. Where did you get it?)
 
someone from linkedin asked if I help her with an online class
she works at learning center mostly doing ESL, writing etc
I assume she was encouraged to help students with math but didn't have a strong background
don't know were the online class is from but it is obviously a grade school level
However I was in grade school in the 50s which was just very direct standard stuff
there seems to be so much new terminology and methods even at that level
 

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