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Innovative strategies used to teach mathematics: A look at educators and classrooms across six countries

Description
Mathematics is an increasingly critical subject and the achievement of students in mathematics has been the focus of many recent reports and studies. However, few studies exist that both observe and discuss the specific teaching and assessment techniques employed in the classrooms across multiple countries. The focus of this study…

Mathematics is an increasingly critical subject and the achievement of students in mathematics has been the focus of many recent reports and studies. However, few studies exist that both observe and discuss the specific teaching and assessment techniques employed in the classrooms across multiple countries. The focus of this study is to look at classrooms and educators across six high achieving countries to identify and compare teaching strategies being used. In Finland, Hong Kong, Japan, New Zealand, Singapore, and Switzerland, twenty educators were interviewed and fourteen educators were observed teaching. Themes were first identified by comparing individual teacher responses within each country. These themes were then grouped together across countries and eight emerging patterns were identified. These strategies include students active involvement in the classroom, students given written feedback on assessments, students involvement in thoughtful discussion about mathematical concepts, students solving and explaining mathematics problems at the board, students exploring mathematical concepts either before or after being taught the material, students engagement in practical applications, students making connections between concepts, and students having confidence in their ability to understand mathematics. The strategies identified across these six high achieving countries can inform educators in their efforts of increasing student understanding of mathematical concepts and lead to an improvement in mathematics performance.
ContributorsAnglin, Julia Mae (Author) / Middleton, James (Thesis director) / Vicich, James (Committee member) / Barrett, The Honors College (Contributor) / School of Mathematical and Statistical Sciences (Contributor)
Created2014-12
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Study of Exhaust Throttling Effects on SI Engine Performance

Description
To determine the effects of exhaust heat recovery systems on small engines, an experiment was performed to measure the power losses of an engine with restricted exhaust flow. In cooperation with ASU's SAE Formula race team, a water brake dynamometer was refurbished and connected to the 2017 racecar engine. The…

To determine the effects of exhaust heat recovery systems on small engines, an experiment was performed to measure the power losses of an engine with restricted exhaust flow. In cooperation with ASU's SAE Formula race team, a water brake dynamometer was refurbished and connected to the 2017 racecar engine. The engine was mounted with a diffuser disc exhaust to restrict flow, and a pressure sensor was installed in the O2 port to measure pressure under different restrictions. During testing, problems with the equipment prevented suitable from being generated. Using failure root cause analysis, the failure modes were identified and plans were made to resolve those issues. While no useful data was generated, the project successfully rebuilt a dynamometer for students to use for future engine research.
ContributorsRoss, Zachary David (Author) / Middleton, James (Thesis director) / Steele, Bruce (Committee member) / Mechanical and Aerospace Engineering Program (Contributor, Contributor) / Barrett, The Honors College (Contributor)
Created2017-05
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Ionic Wind Propulsion

Description
This paper describes the research done to attempt to scale up thrusts produced by ionic wind thrusters, or "lifters" to magnitudes needed to power a 2 kg hobbyist remote-control airplane. It includes background information on the Biefeld-Brown effect and the thrust it produces, an experiment that attempted to prove that…

This paper describes the research done to attempt to scale up thrusts produced by ionic wind thrusters, or "lifters" to magnitudes needed to power a 2 kg hobbyist remote-control airplane. It includes background information on the Biefeld-Brown effect and the thrust it produces, an experiment that attempted to prove that thrust can be scaled up from smaller ionic wind thrusters to larger scales, and two models predicting thruster geometries and power sources needed to reach these thrusts. An ionic wind thruster could not be created that would power the hobbyist remote as a high-voltage power source with voltage and power high enough could not be obtained. Thrusters were created for the experiment using balsa wood, aluminum foil, and thin copper wire, and were powered using a 30 kV transformer. The thrusters attempted to test for correlations between thrust, electrode length, and current; electric field strength, and thrust; and thrust optimization through opening up air flow through the collector electrode. The experiment was inconclusive as all the thrusters failed to produce measurable thrust. Further experimentation suggests the chief failure mode is likely conduction from the collector electrode to the nearby large conductive surface of the scale.
ContributorsHaug, Andrew James (Author) / White, Daniel (Thesis director) / Takahashi, Timothy (Committee member) / Middleton, James (Committee member) / Mechanical and Aerospace Engineering Program (Contributor) / Department of Military Science (Contributor) / Barrett, The Honors College (Contributor)
Created2017-12