Digital Teacher's Manual
This digital teacher's manual put together by Sean Cabaniss is a collection of valuable resources that we can use in the future and easily have at our disposal. As of now I am a senior at the University of Maine at Farmington and will be graduating with a B.S. in Secondary Education with a concentration in Mathematics, a B.S. in Mathematics, and a Coaching Minor. The resources listed here are not only ones that we have collected as part of EDU 361 (Math Methods), but any site/link/digital tool that we have previously used/accessed that will make our experience in the future easier. In addition, this site is an ongoing artifact that will continue to grow as we continue our educational journey.
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Units & LessonsThis Geometry unit is based off of conic sections that include the circle, parabola, hyperbola, and ellipse. It was created in EDU 361 (Math Methods) and consists of four lessons and multiple formative/summative assessment and activities.
This is an Algebra II unit that was created in EDU 221 (Secondary Practicum) that is based on the relationship between linear, quadratic, and exponential functions. It was the first unit I had ever created and was pieced together using backwards design.
In EDU 361 twenty-one middle school students from Mt. Blue Middle School came to our classroom to learn about math. Our Geometry Team had the group of students for an hour to show them how to apply the use of Google SketchUp to geometry.
This lesson was created in EDU 361 by the Geometry Team to present to English Language Learner students from Lewiston High School. Twelve students were broken up into groups of four and rotated around the room to different stations that included Algebra, Probability, and our group, Geometry.
Professional PresentationsBreaking down mathematics to its core, each student in EDU 361 investigated a chapter from the book, "Number Theory". Each chapter represented, what we know to be, a basic mathematical concept/operation and how it should be taught/where there lies deficits for our students.
This was a presentation to our colleagues in EDU 361. We became experts in the field of Google SketchUp and showed our colleagues the benefits/advantages to using this technology in the classroom. In addition, how it could relate to the SAMR model of technology.
Statements & ReflectionsMy educational philosophy is a ten page paper that touches on many questions and topics covered from EDU 402 (History and Philosophy of Education).
This is a post philosophy statement that captures what we have learned this semester not only in EDU 361, but across our other classes as well. In addition, we wrap up concepts and understand that this philosophy should always be changing.
Here is a collection of all the reflections I have done this semester as part of EDU 361. The reflections touch on a number of things such as articles, videos, readings, experiences in the classroom, etc...
This document describes how I was able to meet all eleven of the Maine Common Core Teaching Standards. Through a wide variety of experiences in this class, I was able to write a rational statement for each standard.
StandardsHere the entire list of Maine's Common Core State Standards can be found. This is what provides guidance to teachers in the classroom. Each student should be meeting the standard for their grade level/class.
This is a list of eleven standards that the state of Maine and the University of Maine at Farmington expect their teachers in training to meet. The eleven standards touch on anything from being a competent teacher to being a compassionate teacher.
Through the use of technology, students should be able to meet specific standards as provided by ISTE. This is a student centered list of standards to help students be able to be more productive technologically speaking.
Through the use of technology, teachers should be able to meet specific standards as provided by ISTE. This teacher focused list of standards is supposed to help guide teachers so they can meet appropriate standards to maintain student growth and productivity with technology.
Articles & VideosThis article sheds light on the importance of writing in the math curriculum and the benefits it has. After reading, it is evident that through cross-disciplinary work such as writing in the classroom, students will retain more knowledge and have a better experience overall.
Many factors come into play when trying to properly and effectively evaluate students on their knowledge. While many teachers have different styles for exams, providing a fair and appropriate one to students that tests their knowledge well is important.
Dan Meyer, previous mathematics teacher/current administrator for Desmos Graphing, shares his knowledge of education and how to gain students' interest in your lessons. He promotes questioning on the part of the student and self discovery with the teacher as a guide.
TPACK (Technological, Pedagogical, and Content Knowledge) aims to develop the well rounded teacher. Often times teachers have one or two of the components, but do not fit into the center of the tri-diagram. A great teacher can make each work and mesh the three knowledge together nicely in the classroom.
While SAMR (Substitution, Augmentation, Modification, Redefinition) represents the different levels of application of technology in the classroom. The range goes from basic substitution technology, to complete redefinition of technology and how it can better improve our students. This article discusses mathematics vocabulary and how it is used in the classroom. Things have changed from the past so there is a bit of a disconnect in vocabulary from where we were.
This site provides a good deal of links for articles on manipulatives and how they can be used in the classroom. Especially in mathematics, manipulatives provide students with something tangible they can learn from.
When students ask when are we ever going to use this, it is important to be able to answer that. Most importantly, the students shouldn't be asking that because it should already be integrated into the curriculum. This site provides some great ideas on how to relate different real world topics to the mathematics classroom.
A book that touches upon what a mathematical utopia would look like. More specifically, what our mindset is now for students taking math and what it should be like. This is part one which is free online. The second part must come in hard copy form via book.
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