MTED 5318 - Meeting 3 (September 9)
MTED 5318 - Meeting 3 (September 9) MTED 5318, Teaching and Learning with Techonology in the Mathematics Classroom
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This 4 page Class Notes was uploaded by Mitzelle Escobar on Tuesday September 15, 2015. The Class Notes belongs to MTED 5318, Teaching and Learning with Techonology in the Mathematics Classroom at University of Texas at El Paso taught by Dr. David Carrejo in Fall 2015. Since its upload, it has received 41 views. For similar materials see Teaching and Learning with Techonologh in Education and Teacher Studies at University of Texas at El Paso.
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Date Created: 09/15/15
MTED 53 18 September 9 2015 Week 3 BlackBoard Post 1 due 916 at 530 MST before the next class Continuation from September 2 PP Geogebra Defeated the purpose of connecting all the topicstabs presented because of the separation of topicstabs AssignmentPost 1 A journal entry 0 Basic overview of the homework Based on the 2 prior readings Give re ection on the prompt Conceptual Foundations Abstract too hardcomplex if I don t get it how will my students give it Constructivism a system of learning 0 A pistomology Both abstract and constructivism is a way of learning Dynamic Geometry What students can seeunderstand It is abstract Geometry has reference can represent certain things Points to ponder O 1 Does understanding the differences between measurements in real situations dynamic geometry and theoretical mathematics enhance most students learning or simply complicate it I Measurement teachers take for granted think that students know measurement but they don t know the concept because it hasn t been taught O 2 How do students make use of abstractions or cognitive models constructed from virtual activity when they are working in the real world situations or in the mathematical world I The more conceptual you can make geometry the more you can see the connection to algebra Want to approach geometry with technology The need to be physical tactile and handson 0 This should be done Representations run the risk of becoming objects consider the view from algebra 0 Make sure to not do this The transition to the coordinate plane The Van Hiele Levels 0 There is also algebraic reasoning going on with these levels Level 0 special reasoning visualization not included 0 Some definitions will 0 Area area dissections O Categorization goes into level 1 Level 1 Analysis Level 2 Informal Deduction Level 3 and 4Deduction and Rigor 0 Logic 0 Constructions coming into question interactive Review what basic construction is about in dynamic geometry Ruler and Compas Construction Some basic shapes we need are 0 The line 0 The circle 0 The square 0 The triangle Some basic paper and pencil constructions we need are 0 Constructing a perpendicular bisector 0 Construct a perpendicular to a line at a point on the line 0 Construct a parallel to a line through a given point Eulide Telling you book 1 and 2 is how to do constructions wwwmathopenrefcom An exercise to read and learn logic Geometrical constructions step by step on how to make perfect shapes with the use of a compass Lots of things done in geometry is fun but also fundamental Take a quick exercise A student at a young age can see things and visualize it Connected mathematics project book that the teacher haspresented in class 0 6th grade math visuals 0 Build structures Make sure to always start from the basicsbeginning 0 Present the base outline identify the back left right and front views 0 Also provide the base plan with the numbers that are stalked over the base plan It is a disservice to students when we stop using 3D After middle school especially in high school which are limited to 2D Then when they get to higher levels of mathematics especially in college when it goes back to 3D but students have a hard time connecting it because they haven t worked on it since elementary If you are thinking about learning image how much you can generate with the activity Make sure they build off of each other Make a stack of 3 cubes Your challenge is to find every way this stack of 3 cubes can be pictured on isometric dot paper you can find the paper on black board under todays folder BB gt Course Content gt September 9 In using technology 0 What does technology allow us to doteach 0 With interactive technology we can now as more questions than before I Visualization is the limitation O Variants and invariants I Vthings that change I Invthings that don t change 0 Let s us be more conceptual BB gt Course Content gt Isometric Drawing tool Let technology do the messy part of putting the locks together Have you realized that you are using a 3D access shows the X y and z Exploration tab 0 Possible when they have the conceptual basis BB gt Course Content gt Using Cubes and Isometric Drawings Can use block figures to examine different concepts 0 Area 0 Volume 0 Units BB gt Course Content gt Poly Can see the creation of 3D figures through a 2D net 0 Also the opposite smashing 3D figure into a 2D net That concept but Visually without the mess Continuing PP while at the Computer Geogebra Rectangle construction Equilateral triangle Reason to use Learn conceptual thinking gt apply on technology gt can allow for deeper thinkingquestioning Next Class Dilate symmetrysimilarity 0 Begin with object and arbitrary point 0 Can enlarge a figure from dilation point doesn t always have to be in the middle gt For homework take time to play with Geogebra Symmetry I leads to selfdiscovery
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