Probability2

PROBABILITY Links

Review

http://www.shodor.org/int 1) Pedagogical goal a. Remedial practice. eractivate/lessons/ b. Support as teaching instrument/s, especially while expounding new contents http://www.shodor.org/int c. Simulations eractivate/activities/ d. Didactic material/s useful for experiments or practical activities e. Group- work f. Homework assignments 2) School Level: 8-12 class 3) Level of difficulty: you can choose different level 4) Language: English 5) Interactivity: yes 6) Problems: none 7) Weak points: the return isn’t in section but in general index 8) Strong points: the reference to a lot of simulation and the possibility for teacher to use a scheme for lesson 9) Overall review 10) Example of use 11) Techer can follow the whole path or choose only a section, it is possible choose simulation by level and by method.

There are worksheet for students as for use simulation as for answer to some question https://phet.colorado.edu/ sims/plinkoprobability/plinkoprobability_en.html

1) Pedagogical goal a. Support as teaching instrument/s, especially while expounding new contents b. Simulations c. Didactic material/s useful for experiments or practical activities d. Group- work 2) School Level: 10-12 class 3) Level of difficulty: medium 4) Language: English (other languages in flash) 5) Interactivity: yes 6) Problems: 7) Weak points: not simple understand how use simulation 8) Strong points: display of the meaning of Binomial distribution 9) Overall review 10) Example of use The teacher prepares a worksheet (some ideas are already present in the website). Students can use the simulation

and answer to questions to better understand the meaning of the parameters in a binomial distribution and law of large numbers http://ocw.mit.edu/course s/mathematics/18-05introduction-toprobability-and-statisticsspring-2014/index.htm#

1) a. b. c. d.

Pedagogical goal Homework assignments.

Further consolidation and revision practice in class.

Simulations Didactic material/s useful for experiments or practical activities e. Group- work f. Homework assignments 2) School Level: 10 -12 class 3) Level of difficulty: medium 4) Language: english 5) Interactivity: partly 6) Problems : pay attention to the respect of the creative commons license 7) Weak points: need a good internet 8) Strong points: very interesting for teacher, some exercise require the use of some software (as R) or suggested videos 9) Overall review 10) Example of use 11) It is a complete course, teachers can choose argument, exercises to integrate their lesson or to explore a different point of view. Students can do exercises an check their solution, read/see lesson (CLIL)

https://www.khanacadem y.org/math/probability

1) a. b.

2) 3) 4) 5) 6) 7)

Pedagogical goal Remedial practice.

Homework assignments.

School Level: 10 -12 class Level of difficulty: simple Language: English, some subtitle in mother tongue Interactivity: partly Problems: need registration to create a personal path Weak points: video-lesson are the same the one that teacher usually does in class 8) Strong points: interactive exercises 9) Overall review 10) Example of use Students can explore concept watching videos and answer to related question. Useful for CLIL

http://mrcoreymath.blogs pot.it/2013/03/teachingprobability-with-

1) Pedagogical goal a. Didactic material/s useful for experiments or practical activities

geogebra.html

2) 3) 4) 5) 6) 7) 8) 9)

School Level: 10 -12 class Level of difficulty: medium Language: English Interactivity: yes Problems: none Weak points: only for teacher Strong points: suggestion for problem posing method Overall review

10) Example of use Teachers can learn how create some simulation and how use them in class.

Teachers can also build problems to be solved using simulations, students can solve the problems presented and then discuss their solutions with teacher and all class. http://betonmath.polimi.it /

1) Pedagogical goal a. Support as teaching instrument/s, especially while expounding new contents b. Simulations c. Didactic material/s useful for experiments or practical activities d. Group- work e. Homework assignments 2) School Level: 10-12 class 3) Level of difficulty: medium 4) Language: Italian 5) Interactivity: partly 6) Problems: none 7) Weak points: material available only ad PDF 8) Strong points: very interesting materials for teacher 9) Overall review 10) Example of use The course is designed to be used by mathematics teachers of secondary schools to teach the basics of probability in their classes, addressing, with preventive purposes, the issue of gambling.

http://www.geogebra.org/ material/simple/id/448135 http://www.geogebra.org/ material/simple/id/260527 http://www.geogebra.org/ material/simple/id/133585 3 http://www.geogebra.org/

1) Pedagogical goal a. Support as teaching instrument/s, especially while expounding new contents b. Simulations c. Didactic material/s useful for experiments or practical activities d. Group- work 2) School Level: 10-12 class 3) Level of difficulty: medium 4) Language: English

material/simple/id/155718 http://www.geogebra.org/ material/show/id/39791

5) 6) 7) 8)

Interactivity: yes Problems: none Weak points: not simple understand how use simulation Strong points: display of the meaning of different distribution of probability 9) Overall review 10) Example of use Students can use the simulation and answer to questions to better understand the meaning of the parameters in a distribution of probability, to compare different distributions.

Teachers can draw inspiration from these and learn how to build other more related to their teaching