Wathall Synthesis Chapter 3 by Melissa Quintero Cruz https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb Share your ideas and comment on others! en-us 2024-02-22 18:42:03 UTC 2024-02-22 20:14:41 UTC hello@padlet.com https://padlet.net/icons/png/1f9e0.png Generalization in Mathematics mqcruz https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892785067 2024-02-22 18:42:23 UTC https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892785067 Guided Questions mqcruz https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892786506 It is important to ask the right questions in order for students to generalize correctly. Asking open questions such as; Do you notice a pattern? or, Can you predict the next answer?. And avoid questions such as ; Can you find the answer? These are called closed questions that only offer one solution. (Factual, conceptual, debatable)

]]> 2024-02-22 18:43:39 UTC https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892786506 Skills That Fall Under Generalization mqcruz https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892794773

  • Problem solving

  • Reasoning and proof

  • Making connections

  • Communicating

  • Creating representations

    • ]]>     2024-02-22 18:51:29 UTC https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892794773     Chapter 3 mqcruz https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892799780 2024-02-22 18:56:02 UTC https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892799780 Importance of Understanding Principles in Mathematics mqcruz https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892812037 Principles can be described as the foundational learning a child received. Is the child able to connect his/her prior knowledge to the new content they are learning. It is of great importance that kids are receiving high quality foundational education because all math is an expansion of the foundations.

    ]]>     2024-02-22 19:06:41 UTC https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892812037     Basic Principles in Algebra mqcruz https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892826296 2024-02-22 19:19:53 UTC https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892826296 mqcruz https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892834436 Knowing these principles students can start to generalize new information and begin to conclude their own hypothesis to questions.

    ]]>     2024-02-22 19:28:00 UTC https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892834436     Opportunities I will Provide for my Students to Communicate and Collaborate mqcruz https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892856065

  • I will ask open ended questions such as;

    • In what situations do you think systems of equations might be more beneficial than solving a single equation?

    • Can you use your own experiences to create a story problem that involves solving an

  • I will have real-life context activities such as;

    • Letting the students go outside and measure shadows for proportions

    • Letting the students go outside and find the Fibonacci sequence in nature

    • ]]>     2024-02-22 19:49:53 UTC https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892856065     mqcruz https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892859575 Showing students fun little videos to keep them engaged and ready to ask questions.

    ]]>     2024-02-22 19:53:54 UTC https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892859575     Generalization Levels mqcruz https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892878648 Level 1

    • The student will work with particular cases, formulate conjectures, represent structures, and accept a structure.

    Level 2

    • The student will reformulte and validate conjectures, represent and confirm a structure.

    Level 3

    • The student will generalize a structure.

    ]]>     2024-02-22 20:14:41 UTC https://padlet.com/mqcruz/7m2t6d5ilcl8dmeb/wish/2892878648