The study found that the students who received the intervention considered most appropriate to their abilities received the intervention better, i.e. 559 0 obj <>]/P 590 0 R/Pg 874 0 R/S/Reference>> 593 0 obj Procedural fluency is especially needed to support conceptual understanding of place value and the meanings of … In this publication, the 8 Effective Teaching … Burns, M. K., Walick, C., Simonson, G. R., Dominguez, L., Harelstad, L., Kincaid, A., & Nelson, G. S. (2015). 597 0 obj endobj 595 0 obj 505 0 obj Reading about building procedural fluency through conceptual understanding prompted me to reflect on my own procedural fluency, and how I can build procedural fluency in my future students. Five keys for teaching mental math. A teacher-driven, rather than student-driven, approach to instruction was emphasized, thus minimizing opportunities for students to engage in the kinds of tasks and discourse recommended in the literature. Each perspective will build off each other to form a comprehensive view of learning and teaching algebra. You must be logged in to post a comment. <>]/P 602 0 R/Pg 898 0 R/S/Reference>> What should a classroom look like if teachers are helping students build conceptual understanding in mathematics? 577 0 obj One article that I found on the subject procedural fluency concerns practicing frequent mental math in the classroom (link: http://www.nctm.org/Publications/Mathematics-Teacher/2015/Vol108/Issue7/Five-Keys-for-Teaching-Mental-Math/). endobj H��WKo#7��Wp/Aw�f��wd1�'��f�Ƹ�<9�����li�~H3� �.��$6�&�U_}��i}�x���,W;�����n�Z�����~+~�OO��0�0�L�,YjdZe�� endobj endobj July 20, 2020 @ 4:00 pm - 5:30 pm (Register Below) Please save the event to your calendar. <> <> 21). Please watch, like and subscribe my channel. endobj (2015). One of these focuses on building procedural ﬂuency from conceptual understanding. ( Log Out / 581 0 obj 12 As we noted earlier, the two are interwoven. Conceptual understanding is knowing the procedural steps to solving a problem and understanding why those algorithms and approaches work, similar to a recognition that there is a man hiding behind the giant head in The Wizard of Oz. endobj This was a stark difference from my high school classroom where calculators were heavily relied upon. 614 0 obj Conceptual understanding (CU) and procedural fluency (PF) are two important mathematical competencies required by students. 618 0 obj endobj <> <>]/P 586 0 R/Pg 874 0 R/S/Reference>> 553 0 obj Support productive struggle in learning mathematics. I would like to implement no calculator quizzes and exams (not all) in my future classroom to help students build a procedural fluency in their mental mathematics. 539 0 obj endobj 2019-05-23T23:36:52-07:00 13 0 obj Another article that I found was a study done in an elementary school involving utilizing a conceptual understanding versus procedural fluency. Change ), You are commenting using your Facebook account. The more energy they use for procedures, the less energy they have for problem solving. <> This idea aligns with standard 7.SP.5. The latest round of curriculum reforms is wrapped in the language of balance between procedural fluency and conceptual understanding. <>]/P 604 0 R/Pg 898 0 R/S/Reference>> endobj endstream <>]/P 554 0 R/Pg 874 0 R/S/Reference>> Five keys for teaching mental math. endobj The effective mathematics teaching practice that I was assigned to read about from Principles to Actions was building procedural fluency from conceptual understanding. Establish mathematics goals to focus learning. endobj 567 0 obj 609 0 obj endobj What is Conceptual Understanding, Procedural Fluency and Mathematical Reasoning/Problem Solving? endobj <>stream <>/Font<>>>/Rotate 0/StructParents 98/Type/Page>> Research suggests that once students have memorized and practiced procedures that they do not understand, they have less motivation to understand their meaning or the reasoning behind them (Hiebert, 1999). Conceptual understanding and procedural fluency are equally important. 431 0 obj endobj One of the benefits of the cycle of invitation, deep study, consolidate, and apply is the way students are continually building on conceptual understanding . endobj endobj Procedural fluency aids in problem solving skills, which are at the heart of mathematics. 870 0 obj endobj 571 0 obj <>]/P 600 0 R/Pg 898 0 R/S/Reference>> uuid:eb281bce-ab94-11b2-0a00-782dad000000 I can use the information found in this article, and others to help my future students learn procedural fluency in the math that they encounter. 14 0 obj students who had historically struggled more that received the procedural fluency intervention did not respond to it as well as students who were at the same level but received the conceptual understanding intervention. endobj <>]/P 588 0 R/Pg 874 0 R/S/Reference>> 611 0 obj endobj <> endobj The ways 591 0 obj <>]/P 564 0 R/Pg 874 0 R/S/Reference>> <>]/P 617 0 R/Pg 907 0 R/S/Reference>> <> Strategies and Tasks to Build Procedural Fluency from Conceptual Understanding Diane J. Briars Immediate Past President National Council of Teachers of Mathematics firstname.lastname@example.org @dbriars 2016 NCTM Phoenix Regional Conference October 27, 2016 918 0 obj 3 0 obj [915 0 R] ... procedural fluency from conceptual understanding. Conceptual understanding in itself is a functional understanding of concepts, operations, and relations presented in the mathematics classroom, whereas procedural fluency is the ability to execute procedures accurately, efficiently, and flexibly. Reading about building procedural fluency through conceptual understanding prompted me to reflect on my own procedural fluency, and how I can build procedural fluency in my future students. endobj <>]/P 596 0 R/Pg 874 0 R/S/Reference>> This shows how important it is for students to understand what they are learning before they are able to develop procedural fluency. Like all of us, students have finite energy. Build Procedural Fluency from Conceptual Understanding Effective teaching of mathematics builds fluency with procedures on a foundation of conceptual understanding so that students, over time, become skillful in using procedures flexibly as they solve contextual and mathematical problems.
build procedural fluency from conceptual understanding