What is logic?
Logic, as such, is a branch of mathematics that is not usually worked on extensively in school. Logical reasoning is not only useful to us in everyday situations, but it is the basis for the orderly reasoning that allows us to reach elaborate conclusions.
In fact, it is not just a branch of mathematics, but what mathematics is based on. When we work on any mathematical content we are working on logical reasoning.
Logic is a tool that helps people make sense of information by analyzing relationships and structures to make conclusions in a systematic way. Logical thinking, critical thinking, and reasoning are integral foundational skills in math.
A real life example of someone not using logic is that he sees a drum set he likes at the store. It’s not on sale so he doesn’t buy it. He finds the same drum set at another store and it is 50% off; however, the actual cost of the drum set is cheaper at the first store. He buys the one that is on sale without analyzing the actual cost of the drum set.
What is math logic?
Math logic is applying the principles of logic to mathematical situations. In simpler terms, it is critically analyzing and thinking through problems that involve math to make sense of the problem.
What is the importance of teaching and practicing logic, critical thinking, and reasoning?
Practicing logic, critical thinking, and reasoning is essential for students for many reasons. Practicing these skills stimulates and trains their brains to naturally work towards making sense of the world around them and prepares them for being productive members of society. Read below to learn more!
5 Reasons to Teach Logic in Math
- Prepares students for more complex mathematics (e.g. proofs in geometry).
- Develops students’ critical thinking and reasoning skills.
- Provides an opportunity for cooperative learning.
- Equips students with a strong mathematical foundation.
- Fine tunes students’ problem solving skills and stimulates their brain.
5 Reasons to Teach Critical Thinking in Math
- Develops students’ ability to connect ideas.
- Enhances students’ ability to clearly articulate arguments and thinking.
- Leads to future academic and professional success.
- Contributes to students’ ability to problem solve and make effective decisions.
- Promotes creativity among students working in a group.
5 Reasons to Teach Reasoning in Math
- Increases students’ ability to articulate why their answer makes sense.
- Develops students’ understanding that math makes sense and is made up of patterns, properties, and formulas.
- Provides an opportunity for cooperative learning.
- Leads students with the skills needed for future academic and professional success.
- Enhances students’ ability to problem solve and make effective decisions.
Source: https://www.cfclassroom.com/2019/08/how-to-teach-logic-draft.html
Why Teach Kids Logical Reasoning:
1. It will provide them with critical thinking skills
When kids grow up and face real world problems, they will be better equipped to solve them if they have strong critical thinking and problem solving skills. They will be ready to think outside the box.
We should be teaching our kids to think for themselves, and not always accept everything they hear at face value.
Rather than facing a task that’s hard by immediately asking for help or assuming someone else will do it for them, they should be ready and prepared to tackle the problem themselves.
2. It’s good exercise for the brain
In addition to providing kids the necessary tools to function in life (and not drive their car into a lake), learning to apply logical reasoning through logic puzzles and brain teasers can stimulate the brain, as well as aid in memory and concentration.
Working through a challenging brain teaser or logic puzzle requires patience and concentration as the logic is teased out and the final solution verified.
Practice with these types of puzzles helps the brain make connections and get used to focused concentration on a single problem.
3. It will help in their math studies
Logic puzzles and brain teasers may seem like simply a fun way to pass the time, but I believe they will help your child be a more successful mathematician.
Math is logical. There’s no denying it. And yes, some kids are brilliant at memorizing facts in the early years. And they may do well in math for a time.
But at some point, they will no longer be able to simply regurgitate facts. They will have to use and apply logic to work out math problems successfully.
SOURCE: https://mathgeekmama.com/how-to-teach-logical-reason