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Misconception: Students often have off by 1 errors when working with loops, which can result from mixing up > and >= as well as forgetting that arrays start at index 0.

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Use a visual proof to demonstrate that the better strategy for resizing arrays is doubling the size to make it easier for students to understand.

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Use PEZ ® dispensers to demonstrate the push, pop, and peek methods for stacks to provide a clear and accessible illustration of these methods.

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Use patternCoder to help students move from conceptual model classes to code by selecting class relationships that reflect the system they want to create in Java.

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Have students write a program that constructs an n x n Magic Square in Java so they gain practice working with bounds in 2D arrays.

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Have students translate between Java Array and ArrayList to highlight the differences between the two.

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Use constructive and well-formed examples, like Quicksort, to teach recursion so that students have a strong model for building their own solutions.

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Misconception: Students think that arrays start at 1 instead of 0.

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Use an activity that introduces minimal spanning trees by having students determine the minimum number of roads to pave between houses.

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To help students formalize their knowledge of data structures, act out these abstract ideas as a class.

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Before moving onto arrays, make sure students feel really confident about loops.

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Have students reason about optimization by creating a program that’ll make an 80 minute playlist for a party.

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When teaching arrays, have students complete the Four Rotations problems in pairs.

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Teach ArrayLists for the AP CS A exam by having students uncover interesting information from your past students’ grades.

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Tie the importance of searching and sorting to internet search engines, then encourage students to create search mechanisms for data they want to analyze.

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Analogize stacks and interrupts using a story in which a person is frequently interrupted in the course of performing everyday tasks.

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Give students a caesar cipher to reveal a picture or message in order to teach how characters can be treated as numbers and to reinforce string manipulation.

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Misconception: Students have difficulty using the correct data types in Java because their go-to data type is int most of the time.

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Explain that arrays work like a dresser of clothing to help students understand this abstract data structure by relating it to structures they know.

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Provide specific ways to get additional practice on material (e.g., Linked lists) because teachers often underestimate the amount of practice students need to solidify course concepts.

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