Math & Technology- Operations and Algebraic Thinking
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Session 1 Video: Algebraic Thinking

"What is Algebraic Thinking?"

J Floyd's insight:

In this video, one can discover the discussion of what algebraic thinking is. The break down of algebraic thinking is discussed, which becomes helpful for a teacher to understand. In this revelation, teachers can glean how to implement strategies and develop algebraic thinking, effectively.

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"Inside Mathematics"

"Inside Mathematics" | Math & Technology- Operations and Algebraic Thinking | Scoop.it

Inside Mathematics, a professional learning community for educators passionate about improving students' mathematics learning and performance, provides free resources for in class instruction.

J Floyd's insight:

"Inside Mathematics" is a great resource for teachers to use, if they are unfamiliar with the new Common Core State Standards. With open-ended problems provided for public use in the classroom setting, teachers are better able to develop algebraic thinking for their students. The design and organization of the website makes it easy to filter through information for all grade levels from Kindergarten to High School (Stastics and Probability). With this website as a resource, teachers are able to gradually become familiar with implementing problems and developing strategies to assist students in solving problems in the content area operations and algebraic thinking.

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Educational Vodcasting - Flipping the Classroom

University of Northern Colorado: Mathematics and Science Teaching Institute. Three, free downloadable programs that allow teachers to "flip" their classrooms.

J Floyd's insight:

The new 21st century thinking has allowed teachers and educators to implement innovative strategies for teaching. In a "flipped" classroom, students are enabled to learn content information by watching an instructional video. The video is designed by the classroom teacher (or a teacher that provides a video via internet). Students are able to learn the information "at their own pace." Though students are permitted and encouraged to visit (or revisit) information via the video, students still should be aligned with the in class instruction. Nonetheless, the students have the opportunity to learn the information, as many times as they need, necessary to participate in whole group instruction. 

 

Teachers can use a flipped classroom to introduce a lesson to students. Since students may not have the opportunity to learn this information in their own home, they could have the opportunity to learn it in the computer lab. A flipped classroom is not only beneficial to teachers because it reduces teacher-directed instructional time, but it is beneficial for students because it allows them to take control of their learning. Students will also have the opportunity to formulate questions, and comments, in regards to the information learned; which also gives time for the teacher to address such topics, with in-depth discussion.

 

Overall, a flipped classroom is a new idea that could be utilized effectively through continuous implementation.

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ScootPad

ScootPad | Math & Technology- Operations and Algebraic Thinking | Scoop.it

ScootPad is an adaptive & personalized learning platform for Grades K-5 covering Common Core Standards (Math, ELA/Reading, Writing, Spelling/Vocabulary). 

J Floyd's insight:

Through this interactive website teachers are able to monitor and assess students based upon their individual achievements. This is an app that students can use on the iPad (or computer) in order to complete Common Core alligned activities. Based on the 2 minute video, teachers have the ability to tailor and control different activities in order to meet the needs of the learner. Students would enjoy engaging these activities while exploring with math and other content areas. If in a school where the Daily 5 is fully implemented, students have the opportunity to choose this for "math with technology".

 

Though the ScootPad has aided teachers, students, and parents by aligning the activities with Common Core State Standards, some aspects of the format aren't welcoming. As an educator, it is preferred to not have "classroom leaders" for the program. Though the demo does not explicitly state if the classroom leader is awarded to those who show they understand the content, or those who have completed some activities, it is ideal to not broadcast a title such as that. With the idea of providing differentiation to all students, it is more accepted that children move at their own pace.

 

Nonetheless, I would recommend this program for classroom and schools, as another option for learning math with technology.

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DriscollPart1.pdf

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In this article, there is a thorough explanation of ways to implement algebraic thinking in students. This is a great resource for teachers, considering it provides questions to guide and/or enhance learning.

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Teaching Math Using Technology

Teaching Math Using Technology | Math & Technology- Operations and Algebraic Thinking | Scoop.it

The following posting is written by David Moss. Included are various resources that state how integrate technology with math for any elementary grade level. 

J Floyd's insight:

In this blog, a new term "virtual manipulatives" is introduce to describe a technology resource that assists teachers in guiding students with the content and curriculum. The website (http://nlvm.usu.edu/en/nav/vlibrary.html) is mentioned to offer free manipulatives for students. 

 

Teachers have the opportunity to incorporate these "virtual manipulatives" into the Common Core State Standards. With its design and organization of content and grade level, the site is easy to manuever. 

 

Not only for the math Daily 5, but the computer lab is a great way for teachers and students to experience virtual manipulatives.

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Fourth Grade Math Problems - Splash Math

Fourth Grade Math Problems - Splash Math | Math & Technology- Operations and Algebraic Thinking | Scoop.it

A comprehensive online resource for fun math practice for all grades; with math problems on algebra, decimals, geometry, measurements, fractions, division and other math concepts.

J Floyd's insight:

Splash math is amongst the 21st century learning websites that align with Common Core State Standards. There are many different skills of focus for each grade level: 52 skills for first grade, 46 skills for second grade, 55 skills for third grade, 81 skills for fourth grade, and 41 skills for fifth grade. Each skill has an appropriate activity/interactive game for each students to play. With a Daily 5 implementation, this would be a great option for "math with technology."

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GregTangMath.com

GregTangMath.com | Math & Technology- Operations and Algebraic Thinking | Scoop.it

A free, innovative math website that aligns with Common Core State Standards. A website with resources for both teachers and students. 

J Floyd's insight:

At this website, students have the opportunity to become immersed in various levels of mathematical concepts. Since the website is not only aligned with the content domain "Operations and Algebraic Thinking", but with "Numbers and Base Ten Operations" as well, students can explore numbers in all types of ways. The different online games, such as Kakooma, invite children to learn, explore, and engage in mathematical thinking without tears. With color and visual images, students embark the challenge to solve closed-ended mathematical problems. On one level, students have the opportunity to replay the game and aim to beat thier own time (or score) in solving the problems. After mastering one level, students also have the opportunity to challenge their self and explore a higher level, and develop higher mathematical skills and thinking.This website is a great resource for teachers to differentiate mathematical practice for students. There are online games, worksheets, printable visual aids, and printable puzzles and games for students to engage with. All elementary ages can enjoy this website; thus a great benefit for classroom differentiation. Another benefit is the availability of one game being an app for Apple products. With the steady immersion of technology coming into the classrooms, students can have fun on iPods and iPads, while still meeting Common Core content standards. A free website like this deserves 4 stars and a job well done.

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