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Mathematical Strategic Thinking supports the 8 Standards for Mathematical Practice and was designed to help students to navigate the specialty questions that are found in high-stakes assessments where students not only need to demonstrate content mastery but higher strategic thinking skills as well.
Often, the reason students miss questions on the CAASPP is not that they don’t understand the content or the vocabulary, it is because the way the question is designed requires higher levels of strategic thinking that students are not prepared to use.
The four common stressors students face in the current model of high-stakes assessment include:
1. Content: Students either knew the content or they didn’t; that was a big case of why they missed the question (e.g. adding fractions).
2. Vocabulary: Students didn’t understand the wording of the question and it would sometimes throw them off (e.g. “denominator”).
3. Question Type: The CAASPP has several different types of tech-enhanced items including typing in their mathematical responses or equations, interacting with grid items like coordinate planes or line plots, drag and drop items, multiple choice questions, multi-select questions, matching tables, interactive tables, and short answer responses. When students are exposed to so many different types of formatting they will often spend time trying to figure out how to navigate the question as opposed to doing just the math.
4. Strategic Thinking: Then, there are the types of strategic thinking these questions demand of them (e.g. claims, conditional, find and correct errors). Many students have not been trained how to handle questions that require these skills and students will often be confused about what is being asked of them. If students can be exposed to the types of thinking they will be asked to do on the CAASPP prior to taking it and taught some simple techniques for handling them, then students are less likely to be fooled by the question.
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A side by side comparison of a teacher who analyzed the data of her incoming third graders and compared it to the fourth grade scores after a year of instruction while incorporating Strategic Thinking into her teaching.
First, it is vital that teachers understand how to identify the types of strategic thinking in each assessment problem and the common mistakes that students make on the different tech-enhanced question types. Teachers should be able to look at any standard and analyze which types of Strategic Thinking are inherent within that standard in order to prepare students for the types of questions they may encounter when testing.
Then, educators must be able to modify their lessons to address the CAASPP question types and Strategic Thinking within their daily and weekly curriculum. For this, it’s important that educators know what types of Strategic Thinking best connect to the topics they are currently teaching so they can apply them to their instruction.
Finally, educators need to be able to analyze data to determine which skills students are proficient in and which they still need help with. The ability to be able to clearly and quickly identify if students have a content problem, or if their struggle is related to tech or Strategic Thinking, is a game-changer for CAASPP practice.
A side by side comparison of a teacher who analyzed the data of her incoming third graders and compared it to the fourth grade scores after a year of instruction while incorporating Strategic Thinking into her teaching.
Scott Houston holds a Masters of Arts in middle school education and a Bachelor of Arts in chemistry. He began his teaching career in Fontana where he taught both middle and high school over an eight-year period. During this time he also taught courses at CSU San Bernardino for MA candidates.
Scott is National Board Certified in early adolescent mathematics, and has received recognition four times in Who's Who Among America's Teachers.
Scott is an experienced education consultant helping teachers implement research based strategies and best practices. Some of Scott's recent projects include helping teachers understand the Next Generation Science Standards, Assessment Readiness, Curriculum and support for Strategic Thinking in Mathematics, and designing a Career Education framework, curriculum and resources for students from Kindergarten through High School.