Compasses and straightedges are tools used regularly in geometry. Compasses are used to draw precise circles and arcs, leading to making many geometric figures. Straightedges are used to make straight lines that are exact measurements. There is a need for students to understand and be able to construct geometric figures using a compass and straightedge. This is because students will be able to understand the steps it takes to construct geometric figures, it allows students to understand how to…
allows students to be creative and get-along together. I think it would be a great learning experience for students because it allows them to experience the life of those slaves who could not read or write. It allows them to appreciate history, geometry, quilts, and geology. I think it encourages them to reason and think critically. The article made me realize that quilts are just for decorations but that they are part of history. I do not think many people know the importance of quilts.…
Since the beginning of our time together as a class, we have held many late night discussions on what geometry instruction may look like at the elementary level. I have learned about the Geometric Habits of Mind that should be present in our classrooms as we engage our students in geometric thinking. I have also had demonstrated for me what it looks like for a teacher to help his/her students move forward to higher Van Hiele levels of thought. These two systems of thinking, along with the…
he wanted his son to follow in his footsteps. The reason that he didn’t was Bernoulli saw his mathematical potential and advocated for him to become a mathematician. Leonhard Euler didn’t just help in one specific part of math he helped in geometry, calculus, trigonometry, algebra, number theory, physics, lunar theory and astronomy. He is responsible for the function f (x),…
The Van Hiele Levels of Geometric Reasoning describes how students learn geometry. It was a theory worked on by Pierre Van Hiele and his wife, Dina Van Hiele-Geldof. They were Dutch researchers and teachers. They came up with this theory at the University of Utrecht in the year 1957. The Van Hiele’s did multiple research experiments and it took years for them to complete this thesis. Shortly after the thesis was complete, Dina passed away (Šafránková, 2012, p. 72). These levels have five…
Introduction The NAPLAN test (http://www.nap.edu.au) is for both primary and secondary schools to assess the performance of Australian students against minimum national standards (Reys et al., 2012). With this in mind the approach to answering the questions was to work through all parts of the questions just like a student would, to form an understanding of the process and methods a student taking the test would perform. The questions were not overly difficult to conceptualise, however, working…
The history of mathematics in the near consisted of three distinct divisions of time. The mid-third millennium is when there became evidence for knowledge of symmetry and geometry. Then continuing on into the later third millennium the establishment of accounting for time and labor became prevalent as well as the use of the sexagesimal place value system. The first systematic accounting techniques were developed in the southern Iraq city of Uruk as a result of a growth in the size of the city by…
Geometry can be applied to a lot of professions. Physical therapy is just one of the professions that have geometry involved in their job. We all know that geometry would most likely deal with angles. So, in what particular activity does geometry help in being a physical therapist? Some of the physical therapy clinics are retraining runners when their technique causes injury and the main diagnosis always comes down to the geometry of a runner's stride. According to Moncivais (2015), “running is…
constructing the idea of geometry using their imagination and creativity. Anus is a boy who enjoys all kinds of hands-on activities. One…
The Greek mathematician and philosopher Pythagoras (c. 580-c. 500 B.C.) is one of the few figures in ancient times, or indeed in any age, who warrants comparison to the extraordinary Imhotep. Although he is best known for his famous geometrical theorem, his accomplishments ranged far beyond mathematics and involved areas as diverse as music, politics, and religion. Like Imhotep, he was a figure larger than life. Some historians suggest that he never really lived; in fact it appears highly likely…