Mathematics II – Year 2018-2019 Presentation ∗ Group B: • Pedro Ramos pedro.ramos@uah.es http://www3.uah.es/pramos Office: 427 ∗ Office hours are available on the web page. It is convenient to confirm by email. Pedro Ramos. Mathematics II. Primary Education (bilingual track). Universidad de Alcal´ a.
Contents - Overview ∗ Elementary geometric objects (lines, angles, polygons, circles, polyhedra) and their properties. ∗ Measurement (distance, area, volume). ∗ Randomness and probability. ∗ You will need to draw geometric objects, so ruler, compass, protractor will be used in some classes and exercises. ∗ Learning to ⋄ use geometric language, ⋄ reason, ⋄ present arguments will be a core component of the course. Pedro Ramos. Mathematics II. Primary Education (bilingual track). Universidad de Alcal´ a.
Contents Unit 1: Introduction, first concepts. Unit 2: Geometric figures. Reasoning. Unit 3: Area (I). Unit 4: Pythagorean Theorem, Thales Theorem and applications. Unit 5: Area (II). Unit 6: Geometry in dimension 3. Unit 7: Randomness and probability. Pedro Ramos. Mathematics II. Primary Education (bilingual track). Universidad de Alcal´ a.
Working methodology ∗ For Geometry, some videos must be seen before each theory session. ∗ Before each theory class: 1. you should see the video that will be proposed. 2. you should solve the problems that are proposed in the videos. ∗ In the theory classes we will : 1. solve questions that you may have. 2. revise some details that are difficult or important. 3. solve the problems that are proposed in the videos. 4. work out during the class some additional exercises. Pedro Ramos. Mathematics II. Primary Education (bilingual track). Universidad de Alcal´ a.
Working methodology ∗ What I do not pretend is: 1. that students work more that with a traditional approach. 2. go fast, in order to see more content. ∗ This methdology is known as “flipped classroom” ∗ We will use a tool for real time interaction: Socrative Pedro Ramos. Mathematics II. Primary Education (bilingual track). Universidad de Alcal´ a.
Evaluation ∗ Continuous evaluation (you can apply for final evaluation in some circunstances during the first two weeks of the course). • Final exam: 40 %. • 60 %, continuous evaluation, according to: ◦ Parcial exam: 20 %. ◦ Weekly problem solving tests: 20 %. ◦ Monitoring student’s participation in classes: 20 %. Pedro Ramos. Mathematics II. Primary Education (bilingual track). Universidad de Alcal´ a.
Bibliography ∗ T. Parker, S. Baldridge: Elementary geometry for teachers. Sefton-Ash Publishing, EE UU, 2008. ∗ Musser, Burger, Peterson. Mathematics for Elementary Teachers: a contemporary approach. Ed. Wiley. 2010. ∗ Isidro Segovia, Luis Rico (editores). Matem´ aticas para maestros de educaci´ on primaria. Ed. Pir´ amide, 2011. ∗ J. D. Godino (director). Matem´ aticas para maestros. Dpto. de Did´ actica de las Matem´ aticas. Universidad de Granada. ISBN: 84-933517-2-5. http://tinyurl.com/pbxm7fq (uso gratuito) Pedro Ramos. Mathematics II. Primary Education (bilingual track). Universidad de Alcal´ a.
On line material ∗ Some online material that I highly recommend: 1. “How to learn math”. Jo Boaler, Stanford University. https://www.youcubed.org/online-student-course/ 2. “Learning how to learn”. Coursera. 4 weeks course. 3. “The 6 habits of successful students”. https://t.co/5MNLMoHDXc A short (8’) video with a good summary of what it is know about how to study. Pedro Ramos. Mathematics II. Primary Education (bilingual track). Universidad de Alcal´ a.
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