Math Education Concepts

Inspiring Motivating Empowering


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Own Your Education

When I woke up this morning the last memory I had was of a dream that occurred only minutes, maybe seconds earlier.  I was standing in an elevator in a school district administration building.  The elevator was crowded and to my left stood a mother and her teenage (or pre-teen) daughter.  They were having a conversation and quite naturally, I was listening.  The conversation had something to do with the girl selecting a high school for the coming year.  She didn’t want to participate fully in the selection process.  Like so many young people today, she wanted her mother to make the decision for her.  Well that conversation got my blood boiling, but in a good way… I think.  This is what happened next (I’m paraphrasing, but you’ll get the point)…

I turned to the young lady and told her that she should go and get involved in the selection process.  I told her to go to the schools, tour the classrooms, and get a feel for the environment.  I reminded her that she should select the place that would feel conducive to learning for her!  Finally, I said “you will be here for eight hours each day, not your mother, you will have to sit in these classes all day, not your mother, and you will have to eat the food, not your mother!  Own your education!”  By that, I meant that she should take control of her education by making those important decisions that would impact her education journey.

Then I woke up.  It was one of those dreams that felt real, like I was on that elevator and speaking with that family.  The truth is that is exactly what I would tell young people today, “own your education.”  This is the one thing we have some control over, the one decision many parents allow children to weigh in on.  The one decision that could determine their future career, lifestyle, path!  Granted, young people do need some guidance and direction, but should have some autonomy when it comes to deciding where they will attend high school.

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Concept-Based Learning and Math

Concept-based learning is not a new idea, but one that should get far more attention than what I’ve seen.  I recently found the following definition on “What Is IB?”

“Concept based learning is about big transferable ideas that transcend time, place, situation. Content just focuses on facts while concept focuses on making sense of those facts and the world around us. Content based teaching may not get beyond information transmission/superficial learning. Concepts are a way to organize and make sense of learning.”

When thinking about teaching and learning mathematics, concept-based learning makes the most sense.  Why? Situations change, contexts change, numerical values change, students change, etc.  If a concept is taught and learned, then changing the context or situation will not affect how to apply a concept.

I recently helped a student prepare for the math section of the upcoming SAT.  One question in the practice book showed the graph of a line with no numbers.  The question asked the student to select the equation of the line.  If the student knew the concept of graphs of lines (slopes, y-intercepts, etc.) then they would have been able to solve the problem easily.  They could determine whether the slope was positive or negative and whether the y-intercept was positive or negative.  Without the understanding of these concepts, the student was not able to answer the question.  Once I explained the concepts and details, then the student understood.

Concept-based learning should be a central focus when teaching mathematics.  Otherwise, students will continue to stumble over content when situations and contexts change.

What are your thoughts on concept based learning?


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Seven Secrets of How to Study Math and Science | Citywide Math and Science Institute

Seven Secrets of How to Study

Seven Secrets of How to Study Dr. Stephen Jones

 

As the school year comes to a close, remember to review your study strategies, skills, and habits in preparation of your final exams.  Read this blog about studying for math and science subjects and learn new ways to improve your grades.

Seven Secrets of How to Study Math and Science | Citywide Math and Science Institute.


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FREE Math Mammoth Percent

Free Percents Resource


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Boosting Creative Thinking in Math Class

Here’s a great article by Lana Gundy.  She shares ideas for incorporating creative thinking in your math lessons.

Boosting Creative Thinking in Math Class.