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March 12-14 ictcm.com | #ICTCM 32 nd International Conference on - - PowerPoint PPT Presentation

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32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL March 12-14 ictcm.com | #ICTCM 32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Mathematical and

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32nd International Conference on Technology in Collegiate Mathematics

ictcm.com | #ICTCM

ORLANDO, FL

March 12-14

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

#ICTCM

Mathematical and Scientific Investigations Using Smart Phones/Tablets

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

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Leona Mirza Professor of Mathematics Education North Park University lmirza@northpark.edu Linda Vick Professor of Biology North Park University lvick@northpark.edu

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

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As remote learning has become more essential there is a need for dynamic, engaging, interactive experiences in mathematics and

  • science. We need

to encourage them to act independently.

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  • Mathematics apps, such as Photomath, begin

by allowing students to write or take a photo of the problem.

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It then gives you the answer and prompts you to look at the solution and explanation.

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and continues to explain the math concepts.

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If the equation can be graphed it shows what the graph is and gives an explanation of the parts of the graph.

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Other apps, such as the Geometry Calculator, use geometry and state the general formulas for doing calculations then allow you to enter values and will calculate the results.

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Because these apps change the way that students approach each topic they also include helps for teachers and parents.

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The apps also have complete solutions for certain textbooks.

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With students using these apps it changes how we teach, value homework and what questions we use on tests.

Determine if the following statement is true. If it is true, state the name of the appropriate theorem. If it is false, draw a counterexample. "If a function f(x) is continuous, then f(x) is differentiable." Determine which of the following statements is correct. Construct an example which illustrates your answer. If a function f is not defined at x = a, 1.lim_{x→a} f(x) cannot exist. 2.lim_{x→a} f(x)) could be 0. 3.lim_{x→a} f(x) must approach infinity. 4.lim_{x→a^-} f(x) cannot equal lim_{x->a^+}f(x). Give an example of a function, f(x), either defined explicitly or via a graph satisfying "lim_{x→a} f(x) exists but f(a) does not exist" or state that such a function cannot exist. If it cannot exist, explain why that is the case.

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We have chosen to use several apps to guide students to create their own notes, record data and analyze the data so that they can pose appropriate questions.

Students can take charge of their own learning –locating, identifying, organizing, and sorting information. In a biology class they investigated data related to a jumping frog as a natural outgrowth of their studies.

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In an introductory zoology class we studied the feeding behavior

  • f frogs. From that

exercise students wondered how far a frog could jump and used their smart phones to investigate the question.

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How far can a frog leap?

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Factors measured

  • Take-off angle
  • Duration of leap
  • Distance travelled

in leap

  • Maximum Height
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Compass app

Can be used as a protractor to find angles

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Correlation

Regression Equations Linear Regression T-Test

Distance = 99.9891553 + 1.103865811(Angle) t=3.39602813 p=0.006816417 Duration = 0.293341 + 0.009675(Angle) t=37.73237 p=4.07E-12 Distance = 62.08564(Duration) t=3.94021 p=0.002771

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Data Regarding Angles

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Data Regarding duration

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Data Regarding Maximum Height

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The outcome of using these apps is that students can apply the techniques to a variety of situations such as observing events outside of class, recording and sharing them. The frog example can be used with any type of projectile motion activities such as throwing a football, shooting a free throw, or jumping with a skate board. Students can take the initiative to relate

  • rdinary observations for scientific and data

analysis.

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Students can take charge of their own learning. This is the future!

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32nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14

Feel free to contact either one of us if you have any questions or comments. Leona Mirza Professor of Mathematics Education North Park University lmirza@northpark.edu Linda Vick Professor of Biology North Park University lvick@northpark.edu

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