C

Step 1: Understand the concept of friction between shoes and ice. The coefficient of friction between ice and most rubber soles is relatively low, meaning the frictional force is small.
Step 2: Recognize that to maintain stability while walking, particularly on a slippery surface like ice, one must minimize the chances of losing grip. Taking smaller steps helps to ensure that the foot remains in contact with the ground longer, stabilizing the person and reducing the likelihood of slipping.
Step 3: Evaluate the options:

• A is incorrect because the friction of ice is not large.
• B is incorrect as taking smaller steps does not inherently increase the normal reaction force.
• C is correct as the friction of ice is indeed small, necessitating smaller steps for better grip.
• D is incorrect as smaller steps do not change the normal reaction significantly.

Therefore, C.