Saturday, May 25, 2013

Why is Student Interactivity in Lessons Essential?

Posted by David R. Wetzel, Ph.D.

Science Investigation

 

Learning science and math is normally thought of as committing to memory facts and procedures. Because of this we tend to perceive the best way to teach is through rote memorization of ideas, theories, and models.

As a consequence, students experience little opportunity to develop a real understanding of what they are expected learn.

Our challenge is to craft strategies which allow student interactivity within lessons. Student involvement beyond memorization is an essential building block for learning science and math.

Using Technology and Hands-On: Real Indicators of Student Interactivity?

Not really, it all depends on how they are used in lessons. Regrettably, too often:

Technology is just used as an alternative attraction on the road to rote memorization of facts and concepts.

Hands-on is simply a synonym for following directions from work sheets, lab manuals, or textbooks with no thought by students (NSTA Blog).

Creating Student Interaction

Using technological tools and hands-on activities must focus on creating opportunities for students to ask what, where, when, why, and how.

To this end, we are obligated to craft student interactivity by challenging students in learning situations that require them to think.

This is accomplished by incorporating technology, math manipulatives, and science tools built around activities such as:

  • problem solving situations,
  • critical thinking.

Math


Ways to Create Student Minds-on Involvement

Although there are many ways to create minds-on activities, the following is a sample of activities to create student interactivity in science and math lessons.

Stimulating Critical Thinking Problems and Investigations

Integrated science and math problems, case studies, projects, technology use include:

  • What is the maximum number of eagles that can inhabit an specific area? (biology, fractions, decimals, percents, and ratios)
  • How long will it take to repay the investment in a solar panel, based on local electricity costs?  (real numbers, statistics, physics, and linear equations)
  • What is the math behind a carnival ball toss game? (reasoning, communication, statistics, variables, nature of science)
  • What effect does wind have on water evaporation? (nature of science, technology, charts, tables, variables, reasoning)
  • Why do engineers use so many triangles in structures? (geometry, physical science)
  • What is the biodiversity of your local ecosystem? (number sense, biology)

QR Code Quests

Students use an iPad, iPod, or Smartphone to follow a trail of QR Codes in problem solving situations. These Quests require students to solve a problem or complete an investigation. When complete, they create a QR Code to lead others to their solution and supporting evidence.

Create QR Codes using an Apple App or Android App. Then embed in your class blog, wiki page, Live Binder, or on science and math lab sheets.

An alternative method is to use existing QR Codes in magazines, newspapers, and websites.

Why is this Important?

Our students tend to find science and math a painful exercise in regurgitating information, with little understanding of what they are talking or writing about.

Often, their defense mechanism is expressed by stating:

  • I cannot do math!
  • Why do I need to learn this!
  • I’ll never use this!
  • Science is boring!
  • Math is boring!

Creating an environment in which students don’t need these and other defense mechanisms is important for building student confidence and understanding content.

Science and math teachers are always interested in best practices. Do you have a favorite problem solving activity or investigation, why not share it.  


Math Problem of the Week – 01062010

Posted by David R. Wetzel, Ph.D.

Problem solving in math helps student develop a better understanding of mathematical concepts.

This is true when making connects between math concepts and everyday objects that students look at everyday.

One thing students look at everyday is the clock, which can be used to make connections Geometry.

Geometry Math Problem

When looking a students sees that it is 3:15 PM.

What is the angle between the minute and hour hands? (It is not 0 degrees)

Geometry Problem

Geometry Problem

Answer:

7.5 degrees

Every minute on the clock represents 6 degrees (360 degrees/60 minutes)

Every hour, the hour hand moves from one number to the next (in this case, it is moving from 3 to 4) which represents 30 degrees.

Since it is exactly 1/4 past the hour, the hour hand is 1/4 of the way into its 30-degree trip or 1/4 or 30 degrees….which is 7.5 degrees.

Additional Math Problems

2 Problem Solving Activities in Math

7 Math Problem Solving Exercises

Math Around the Clock Problem Solving

Posted by David R. Wetzel, Ph.D.

Math Around Clock Activity

Math Around the Clock Activity

Problem solving in math is the best way for students to demonstrate their understanding of math concepts. Being able to develop a strategy for solving math problems is critical for truly understanding math beyond rote memorization of procedures and worksheets.

“It is impossible to overstate the importance of problems in mathematics. It is by means of problems that mathematics develops and actually lifts itself by its own bootstraps… Every new discovery in mathematics, results from an attempt to solve some problem.” Howard Eves – Mathematician (1911 – 2004).

Providing students a problem solving situation as a lesson culmination activity allows students to internalize their learning and depending of the problem solving activity students may be able to visualize and artistically internalize a math concept.

Problem Solving Activity – Math Around the Clock

Students are tasked to develop an “8′s” clock similar to the “9′s Clock” pictured.

All clock numbers must be the product, addend, remainder, or dividend of a math problem that all uses the number.

Students must follow PEMDAS, along with having the ability to use any mathematics function.