Online Tutoring Subject Expertise 3 — Questions and Answers
Question 1: A student asks why the order of operations (PEMDAS) requires multiplication before addition. What is the most accurate explanation a tutor can give?
- Multiplication is harder, so it is done first to get it out of the way
- It is a mathematical convention adopted globally to ensure consistent results (Correct answer)
- Addition is less important than multiplication in real life
- The rule was invented to make algebra easier for students
Correct answer: It is a mathematical convention adopted globally to ensure consistent results
The order of operations is a universally agreed-upon convention that ensures mathematical expressions have one unambiguous value.
Question 2: When tutoring reading comprehension, a tutor identifies that a student struggles with inference questions. Which targeted approach best addresses this?
- Have the student re-read the passage multiple times silently
- Model think-aloud strategies that connect text evidence to implied meaning (Correct answer)
- Focus only on vocabulary since that drives comprehension
- Assign longer passages to build stamina
Correct answer: Model think-aloud strategies that connect text evidence to implied meaning
Think-aloud modeling explicitly demonstrates how skilled readers connect clues in the text to draw conclusions not directly stated.
Question 3: A chemistry student confuses ionic and covalent bonds. Which explanation best distinguishes them?
- Ionic bonds occur between two nonmetals; covalent bonds occur between a metal and nonmetal
- Ionic bonds involve electron transfer between atoms; covalent bonds involve electron sharing (Correct answer)
- Ionic bonds are stronger; covalent bonds are weaker in all cases
- Covalent bonds only form in gases; ionic bonds only form in solids
Correct answer: Ionic bonds involve electron transfer between atoms; covalent bonds involve electron sharing
Ionic bonding results from the complete transfer of electrons (forming ions), while covalent bonding involves sharing electron pairs between atoms.
Question 4: A student writing a persuasive essay asks whether they should include counterarguments. What should a subject-expert tutor advise?
- No, counterarguments weaken your position
- Yes, addressing counterarguments strengthens credibility and demonstrates critical thinking (Correct answer)
- Only include counterarguments if the essay exceeds five paragraphs
- Counterarguments are only relevant in debate, not written essays
Correct answer: Yes, addressing counterarguments strengthens credibility and demonstrates critical thinking
Acknowledging and refuting opposing views (the Rogerian or classical argument approach) makes a persuasive essay more credible and balanced.
Question 5: A student asks why the U.S. Electoral College exists instead of a direct popular vote for president. A knowledgeable tutor should explain that the founders designed it to:
- Save money on national election costs
- Balance influence between large and small states and filter the popular will through informed electors (Correct answer)
- Prevent third-party candidates from winning
- Ensure that only educated citizens could vote
Correct answer: Balance influence between large and small states and filter the popular will through informed electors
The Electoral College was designed in part to balance state influence and provide a buffer between direct democracy and the selection of the executive.
Question 6: Which of the following best indicates that a tutor has strong subject expertise in mathematics?
- They can solve problems quickly without explaining steps
- They can present multiple solution methods and explain the conceptual basis of each (Correct answer)
- They always use the method shown in the student's textbook
- They can recall formulas from memory without using references
Correct answer: They can present multiple solution methods and explain the conceptual basis of each
True subject expertise includes flexible problem-solving and the ability to illuminate underlying concepts, not just procedural speed.
Question 7: A student learning Spanish asks why some nouns are masculine and others feminine. The best tutor response is to:
- Say that gender assignment is random and must be memorized
- Explain that while many nouns follow patterns (e.g., -o masculine, -a feminine), exceptions exist and must be learned in context (Correct answer)
- Avoid the topic since it is too complex for beginners
- Tell the student that grammatical gender corresponds to biological sex in all cases
Correct answer: Explain that while many nouns follow patterns (e.g., -o masculine, -a feminine), exceptions exist and must be learned in context
Most Spanish nouns follow gender patterns by ending, but there are significant exceptions, so learners need both the rules and exposure to exceptions.
Online Tutoring Subject Expertise 3
A student asks why the order of operations (PEMDAS) requires multiplication before addition.
What is the most accurate explanation a tutor can give?