Tampilkan postingan dengan label Mathematics. Tampilkan semua postingan
Tampilkan postingan dengan label Mathematics. Tampilkan semua postingan

Learning Math Should be Fun and Engaging

Posted by Unknown Kamis, 31 Januari 2013 0 komentar

Kanchan Chellani, currently a math teacher at New Milford High School, is a strong believer in making the learning process fun, interactive, and meaningful for students. To engage students in her classroom, Mrs. Chellani has utilized a variety of tools to help her develop an interactive, student-centered learning environment.  Through the use of technology, collaborative learning exercises, and teaching mathematical concepts in the real-world and interdisciplinary context, she has managed to successfully work towards creating this desired positive and energetic blended learning environment.  Some of the many methods Mrs. Chellani has employed in her daily instruction include integrating Smart Board interactive review games and videos to reinforce prior learning, case studies performed in the computer lab so students understand the significance of the material taught, and team assignments to foster a collaborative working environment.


Since the “flipped” approach to instruction is proving to be a key asset in modern education, one of Mrs. Chellani’s recent initiatives has been to provide students with a means to learn independently utilizing digital content.  Starting in December 2011, she began using Edmodo, an online platform that enables innovative and social learning, as a way to share online videos and content on the relevant topic for her students to view and assign online polls to complete in order to foster discussion on the topic the next day.  Although enabling the “flipped” approach to instruction using Edmodo has transformed the way material is taught and comprehended by students, it has been difficult to find resources that combine curriculum delivery, real-world examples, and assessments in a cohesive manner.  As a result, she has started to create her own online learning modules, using the software Adobe Captivate.

Adobe Captivate is a highly, user-friendly digital content creation software that fosters interactive eLearning content.  Mrs. Chellani has made use of the tool by creating learning modules that teach the basic mathematical concepts, as well as, provide practice problems, real-world examples, and assessments that allow for better comprehension of the material in an organized fashion.  In these learning modules, instruction is provided using digital content, simulations, videos, screen captures, voice-overs, etc. to meet the visual, auditory, and tactile needs of the diverse student population. Once the instruction has been provided, guided practice problems and real-world examples are then discussed to reinforce the learning of the mathematical concept and to illustrate its’ significance.  A variety of prompts and formal assessments are also embedded within the project in order to ensure that the learning has taken place, to develop higher-order thinking skills, and to facilitate discussion in the classroom.

Here’s how it works! 

  • Students go onto www.learnmatheasily.com and select the assigned video for homework.
  • Students view the instructional portion of the video (both mathematical content and real-world applications) and complete guided practice problems, prompts, and formal assessments embedded within the video.
  • Students come into class the next day with a solid foundation on the mathematical topic.  The teacher utilizes the aforementioned prompts to facilitate class discussion and assigns polls via Edmodo to ensure that the learning has taken place.
  • SMART Board interactive review games, case studies, collaborative learning exercises, group projects, quizzes, and tests are assigned in class to reinforce the learning in a differentiated fashion and probe deeper into key mathematical topics. 
Using Adobe Captivate, Mrs. Chellani has been able to create an engaging and interactive learning experience for her students that not only helps them understand complex mathematical concepts, but also helps them understand the real-world significance of those concepts. 

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Video as a Tool to Understand CCSS Mathematical Practices

Posted by Unknown Sabtu, 10 November 2012 0 komentar

Success at the Core is a free resource available to teachers and leaders to assist in the successful implementation of the Common Core Standards.  All materials are designed to complement—not supplant—existing school improvement initiatives. Video, print, and online materials can be selected by leadership teams or teachers, and tailored to fit their needs.  One of the powerful aspects of Success at the Core is the use of video to to illustrated effective pedagogical techniques in mathematics.  The following piece by Deb Gribskov provides a great example of how video can aid teachers in their math instruction.

They were 100 strong – an audience of teachers sitting at cafeteria tables, waiting. They had come here at 4:00 pm, after a long day, to learn about the Common Core State Standards (CCSS) in Mathematics. The evening’s session was to focus on mathematical Practice #1: Make sense of problems and persevere in solving them.
I was part of a group of teacher leaders and coaches from two neighboring school districts in Washington state who’d come together to lead this session. We hoped to create a critical mass of thought and effort to promote understanding of the CCSS in our districts, with a first-year emphasis on the mathematical practices. Our job that night was to help the assembled teachers understand Practice #1; gain insight into how to intentionally address it in their classrooms; and stay engaged and awake enough to want to come back for focus sessions on the remaining seven practices! I was the “opening act.”
As an instructional coach, I hear time and again: “Show me what it looks like. Let me see it, so I can understand it.” Tonight, I answered that request, specifically focusing on visual examples of perseverance. I began the session with a video of an elementary-school child working through a word problem. The video documented the student struggling with the problem – for almost two agonizing minutes. When he finally came up with his answer (the correct one, I might add), our teachers clapped and breathed an audible sigh of relief.
When I asked the teachers to reflect on why the student succeeded, the two most common answers were: “The teacher gave him the time he needed,” and “The teacher didn’t help him.” Indeed, the video drove home the teacher’s patience. As I watched it – and reflected on the audience’s responses – I thought about how often I’ve come to the aid of a struggling student. In those moments, I often find myself asking whether I’m actually keeping that student from developing the perseverance needed to solve the problem. Clearly, I’m not alone.
After this discussion, we watched a TED talk by Dan Meyer, who talked about why many students struggle with mathematics and don’t persevere. He addressed students who don’t and won’t engage, and how to change the way we present problems to change the paradigm for their learning. In the video, Meyer states, “Students need to decide, ‘All right, well, does the height matter? Does the side of it matter? Does the color of the valve matter? What matters here?’ — such an underrepresented question in math curricula.” Teaching students to think about problems, rather than spoon feeding them the answers, will also teach them to stick with it. This is critical in addressing this part the CCSS.  When I watch this video, I am inspired to think deeply about my own curriculum – not the texts I use but the standards I’m helping students learn.  Meyer models how to create the questions and tasks that really help students grow and learn.

As the second video faded to black, the light bulbs came on over the teachers’ heads. The nodding heads around the room confirmed that the videos drove home the idea of persistence and empowerment in ways that discussion alone could not. With these videos, the stage had been set for my CCSS group of 100. The teachers were now ready to move on to “grade band” sessions. For the remainder of the evening, they focused specific, grade-level skills that would help them intentionally address CCSS mathematical Practice #1 in their classrooms. In these break-out sessions, the teacher leaders asked probing questions and provided concrete examples to help teachers really grasp the essence of this practice.
Now, I’m busy planning next month’s session, which will focus on CCSS mathematical Practice #2: Reason abstractly and quantitatively. Again, I’ll kick off the session with a video to illustrate the practice. This time, I’m planning to use aSuccess at the Core video, “Challenging Students to Discover Pythagoras.” And we’ll examine and discuss quantitative and abstract reasoning.

Over this entire school year, my colleagues and I will repeat this coaching process again and again, until we’ve covered all eight mathematical practices. Each time, we’ll be sure to include video examples to answer their persistent request: “Show me what it looks like. Let me see it so I can understand it.” I can think of no more effective way to bring this rich discussion about CCSS to life.



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