SIMC 2015

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Conference Theme: Exploring Mathematics and its Applications


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Now showing 1 - 5 of 10
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    Renewable energy biodiesel: a mathematical approach from ecology to production
    (Strathmore University, 2015) Roy, Priti Kumar; Chowdhury, Jahangir; Basir, Fahad Al
    Biodiesel is one of promising renewable energy source and used as an alternative of conventional hydrocarbon fuels. Jatropha curcas plant oil (JCPO) is the most cost effective sources of biodiesel. The plant can be cultivated in wastelands and grows on almost any type of territory, even on sandy and saline soils. Judicious agricultural practices and effective crop management of Jatropha curcas is preliminary requisite to get maximum yield of oil. Production of biodiesel by transesterification of Jatropha oil significantly depends on four reaction parameters viz., reaction time, temperature, oil to alcohol molar ratio and stirrer speed. In this work, we have formulated a mathematical model of Jatropha curcas plant, which is affected by many type of pest with the aim to control the pest through Nuclear Polyhedrosis Virus (NPV). Here we have also concentrated on insecticide spraying as controlling measure to reduce the pest, to get maximum yield of Jatropha seeds, which gives Jatropha oil. We have also shown the effect of different variants on mass transfer in biodiesel production from JC oil and how the control theoretic approach flags the maximum production of biodiesel under the mathematical paradigm. Our analytical results provide an idea of the cost effective faster rate of biodiesel production, which satisfies our numerical conclusions.
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    On the zero divisor graphs of Galois rings
    (Strathmore University, 2015) Oduor, Maurice Owino
    Let R be a Galois ring. The subset of zero divisors of R is studied with specific emphasis on the graph theoretical properties. The zero divisor graphs determined by equivalence classes of the zero divisors of the ring are also explored.
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    The Science behind a flipped classroom
    (Strathmore University, 2015) Olszewski, Peter T.
    When first asked to teach a flipped classroom, I was excited and apprehensive at the same time. I knew I always wanted to try it but I wasn’t sure what the best practices were nor which parts of the class should be flipped and which shouldn’t. I soon found out there is a lot more to flipping a classroom, but the results can be rewarding. In this paper, I will describe how I flipped a College Algebra class with a specific focus for nursing students. In addition, valuable ideas and best practices on how to effectively flip a class are presented.
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    On collaboration: an important skill for Mathematics educators for the 21st century
    (Strathmore University, 2015) Olszewski, Peter T.; Owiti, Dickson S. O.
    Mathematics, problem solving, and critical-thinking are key skills to innovation. Not only does the 21st century workforce require mathematics skills for success in everyday life but also for scientific advancement and technological development so as to enhance global competitiveness. Since teaching as an individual process in the 21st century classroom is no longer effective, mathematics educators should embrace practices that foster 21st century skills to their learners. Collaboration is a key skill that not only empowers teachers of mathematics in handling the bigger challenges of the 21st century education but also enables students to succeed in today's world. When we think about collaboration, many different types exist. Most of all major turning points in our history were motivated by a collaborative effort. With any new teacher entering the profession, one needs a mentor to help guide us through the first years of the profession. This is where collaborations start. However, collaborations in education should never stop and should always be on going, as there is always something new to learn. This presentation will outline why collaboration in education is important for both the mathematics educator and student. In addition, the presenters will also outline personal examples of collaborations and provide some ideas on how to obtain and maintain collaborators. This, we believe, can help prepare educators and learners for the challenges in life ahead.
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    Language practices involving two languages among trilingual undergraduate students of Mathematics
    (Strathmore University, 2015) Njurai, E.W.
    This paper presents language practices of some trilingual undergraduate students of mathematics as they engaged with a mathematics task. The paper draws from a larger study that was recently completed. The aim in this paper is to explore whether, how and why the trilingual students use languages in their repertoire to make sense of an algebra task. The two languages in focus are the home languages of the students and the Language of Learning and Teaching (LoLT), English. Research shows that there is a research gap on language practices in trilingual contexts. The study adapted a qualitative inquiry process. It was conducted in one public university with a focus on first year students undertaking mathematics in their programs. Data was collected using questionnaires, clinical and reflective interviews. Analysis followed Discourse analysis (Gee, 2005) with a focus on mathematical Discourses. Findings show that the students engaged with competent mathematical Dis- courses. Furthermore they used their home languages as resources in their repertoire to interpret and understand the task. There were multiple purposes for code switching be- tween the two languages in their solitary engagement. The findings are important to inform Language in Education Policy (LiEP) in Kenya how and why some undergraduate students of mathematics position the home languages when they engage with mathematics. In the global perspective, the findings contribute to the field of mathematics education in trilingual contexts.