Logic to Algorithm

Here is a question in Edmonotn Grandview Height School for Grade 8 students:

A and B are two runners, A's speed is 15km/h, B's speed is 20km/h. 1 hour after A ran, B started to run to catch up A. How long would take B to catch up A?

This is probably a simple math question for element school kids in China. I, totally trained in Chinese thinking, will get answer by doing (1*15)/(20-15) = 3 hrs.

If we want to do the X way, so we can solve the problem as the following, which is taught in Math Power book:

1.let x be the time for B to catch up A
2.then by the time A catches B, A's total running time would be x+1
3.when A catchs B, their running distances are equal, so the following equation wil be used to solve the problem: 15(x+1) = 20x -> x = 3 hrs, same answer.

But the school math teacher's solution is as the following: (of course it's right!)
1. let x be the A's running time (why not be B's time?!)
2. let's think about nagative, since time is passed!
3. so the equation would be 15x = 20(x+1) -> x = -4
4. since time is nagative, so the A's time is 4 hrs.
5. Don't forget this step! since question asks B's time, so B's time is (4-1) = 3 hrs.

We can see the different solutions/logics for this simple question, the answers are same. Which is best? It all depends. From logic to algorithm, it is a long, interesting, challenging way for kids. Hope every kid will be enjoy this, which is the responsiblity of teachers and parents.

My favorite subjects are Math, Science, and LA. Am I equally good at those subjects?!

The theory of the structure and functions of the mind suggests that the two different sides of the brain control two different "modes" of thinking. It also suggests that each of us prefers one mode over the other.

Left Brain: Logical Sequential Rational Analytical Objective Looks at parts
Right Brain: RandomIntuitiveHolisticSynthesizingSubjectiveLooks at wholes

Most individuals have a distinct preference for one of these styles of thinking. Some, however, are more whole-brained and equally adept at both modes. In general, schools tend to favor left-brain modes of thinking, while downplaying the right-brain ones. Left-brain scholastic subjects focus on logical thinking, analysis, and accuracy. Right-brained subjects, on the other hand, focus on aesthetics, feeling, and creativity.

How Right-Brain vs. Left-Brain Thinking Impacts LearningCurriculum--In order to be more "whole-brained" in their orientation, schools need to give equal weight to the arts, creativity, and the skills of imagination and synthesis.

Instruction--To foster a more whole-brained scholastic experience, teachers should use instruction techniques that connect with both sides of the brain. They can increase their classroom's right-brain learning activities by incorporating more patterning, metaphors, analogies, role playing, visuals, and movement into their reading, calculation, and analytical activities.

Assessment--For a more accurate whole-brained evaluation of student learning, educators must develop new forms of assessment that honor right-brained talents and skills.