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 Scientific Investigations Using Smart Phones/Tablets
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Leona Mirza Professor of Mathematics Education North Park University lmirza@northpark.edu Linda Vick Professor of Biology North Park University lvick@northpark.edu
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM 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.
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM • Mathematics apps, such as Photomath, begin by allowing students to write or take a photo of the problem.
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM It then gives you the answer and prompts you to look at the solution and explanation.
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM and continues to explain the math concepts.
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM If the equation can be graphed it shows what the graph is and gives an explanation of the parts of the graph.
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM 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.
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Because these apps change the way that students approach each topic they also include helps for teachers and parents.
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM The apps also have complete solutions for certain textbooks.
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM 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.
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM 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.
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM In an introductory zoology class we studied the feeding behavior of frogs. From that exercise students wondered how far a frog could jump and used their smart phones to investigate the question.
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM How far can a frog leap?
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Factors measured • Take-off angle • Duration of leap • Distance travelled in leap • Maximum Height
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Compass app Can be used as a protractor to find angles
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM 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
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Data Regarding Angles
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Data Regarding duration
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Data Regarding Maximum Height
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM 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 ordinary observations for scientific and data analysis .
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Students can take charge of their own learning. This is the future!
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM 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
32 nd International Conference on Technology in Collegiate Mathematics ORLANDO, FL | MARCH 12-14 #ICTCM Mobile App Session Survey 1) Find the session by using the search field 2) Click on session and locate session survey 3) Complete quick survey Your feedback is important to us… THANK YOU!
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